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Finding the Fourth Proportional to 15,809.52, 23,717.70 and 8,412.89

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Solution

The fourth proportional to 15,809.52, 23,717.70 and 8,412.89 is: 12,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.52 : 23,717.70 = 8,412.89 : x
  2. Step 2: Convert to fraction form
    15,809.52/23,717.70 = 8,412.89/x
  3. Step 3: Cross multiply
    15,809.52x = 23,717.70 × 8,412.89
  4. Step 4: Simplify right side
    15,809.52x = 199,534,460.45
  5. Step 5: Solve for x
    x = 199,534,460.45/15,809.52
  6. Step 6: Final answer
    x = 12,621.16

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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.