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Finding the Fourth Proportional to 17,564.76, 24,239.76 and 10,854.98

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Solution

The fourth proportional to 17,564.76, 24,239.76 and 10,854.98 is: 14,980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.76 : 24,239.76 = 10,854.98 : x
  2. Step 2: Convert to fraction form
    17,564.76/24,239.76 = 10,854.98/x
  3. Step 3: Cross multiply
    17,564.76x = 24,239.76 × 10,854.98
  4. Step 4: Simplify right side
    17,564.76x = 263,122,110.00
  5. Step 5: Solve for x
    x = 263,122,110.00/17,564.76
  6. Step 6: Final answer
    x = 14,980.11

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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.