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Finding the Fourth Proportional to 23,710.20, 35,565.08 and 9,666.94

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Solution

The fourth proportional to 23,710.20, 35,565.08 and 9,666.94 is: 14,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,710.20 : 35,565.08 = 9,666.94 : x
  2. Step 2: Convert to fraction form
    23,710.20/35,565.08 = 9,666.94/x
  3. Step 3: Cross multiply
    23,710.20x = 35,565.08 × 9,666.94
  4. Step 4: Simplify right side
    23,710.20x = 343,805,494.46
  5. Step 5: Solve for x
    x = 343,805,494.46/23,710.20
  6. Step 6: Final answer
    x = 14,500.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.