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Finding the Fourth Proportional to 17,658.76, 24,368.10 and 10,581.64

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Solution

The fourth proportional to 17,658.76, 24,368.10 and 10,581.64 is: 14,602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.76 : 24,368.10 = 10,581.64 : x
  2. Step 2: Convert to fraction form
    17,658.76/24,368.10 = 10,581.64/x
  3. Step 3: Cross multiply
    17,658.76x = 24,368.10 × 10,581.64
  4. Step 4: Simplify right side
    17,658.76x = 257,854,461.68
  5. Step 5: Solve for x
    x = 257,854,461.68/17,658.76
  6. Step 6: Final answer
    x = 14,602.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.