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Finding the Fourth Proportional to 17,875.92, 24,669 and 10,800.48

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Solution

The fourth proportional to 17,875.92, 24,669 and 10,800.48 is: 14,904.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.92 : 24,669 = 10,800.48 : x
  2. Step 2: Convert to fraction form
    17,875.92/24,669 = 10,800.48/x
  3. Step 3: Cross multiply
    17,875.92x = 24,669 × 10,800.48
  4. Step 4: Simplify right side
    17,875.92x = 266,437,041.12
  5. Step 5: Solve for x
    x = 266,437,041.12/17,875.92
  6. Step 6: Final answer
    x = 14,904.80

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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.