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Finding the Fourth Proportional to 17,929.59, 24,740.94 and 9,970.53

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Solution

The fourth proportional to 17,929.59, 24,740.94 and 9,970.53 is: 13,758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,929.59 : 24,740.94 = 9,970.53 : x
  2. Step 2: Convert to fraction form
    17,929.59/24,740.94 = 9,970.53/x
  3. Step 3: Cross multiply
    17,929.59x = 24,740.94 × 9,970.53
  4. Step 4: Simplify right side
    17,929.59x = 246,680,284.50
  5. Step 5: Solve for x
    x = 246,680,284.50/17,929.59
  6. Step 6: Final answer
    x = 13,758.28

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