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Finding the Fourth Proportional to 15,897.77, 23,842.07 and 6,410.09

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Solution

The fourth proportional to 15,897.77, 23,842.07 and 6,410.09 is: 9,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.77 : 23,842.07 = 6,410.09 : x
  2. Step 2: Convert to fraction form
    15,897.77/23,842.07 = 6,410.09/x
  3. Step 3: Cross multiply
    15,897.77x = 23,842.07 × 6,410.09
  4. Step 4: Simplify right side
    15,897.77x = 152,829,663.23
  5. Step 5: Solve for x
    x = 152,829,663.23/15,897.77
  6. Step 6: Final answer
    x = 9,613.28

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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.