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Finding the Fourth Proportional to 17,970.96, 24,800.17 and 10,417.71

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Solution

The fourth proportional to 17,970.96, 24,800.17 and 10,417.71 is: 14,376.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,970.96 : 24,800.17 = 10,417.71 : x
  2. Step 2: Convert to fraction form
    17,970.96/24,800.17 = 10,417.71/x
  3. Step 3: Cross multiply
    17,970.96x = 24,800.17 × 10,417.71
  4. Step 4: Simplify right side
    17,970.96x = 258,360,979.01
  5. Step 5: Solve for x
    x = 258,360,979.01/17,970.96
  6. Step 6: Final answer
    x = 14,376.58

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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.