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Finding the Fourth Proportional to 15,707.83, 21,677.12 and 8,634.91

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Solution

The fourth proportional to 15,707.83, 21,677.12 and 8,634.91 is: 11,916.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707.83 : 21,677.12 = 8,634.91 : x
  2. Step 2: Convert to fraction form
    15,707.83/21,677.12 = 8,634.91/x
  3. Step 3: Cross multiply
    15,707.83x = 21,677.12 × 8,634.91
  4. Step 4: Simplify right side
    15,707.83x = 187,179,980.26
  5. Step 5: Solve for x
    x = 187,179,980.26/15,707.83
  6. Step 6: Final answer
    x = 11,916.35

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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.