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Finding the Fourth Proportional to 21,705.77, 32,573.17 and 7,665.91

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Solution

The fourth proportional to 21,705.77, 32,573.17 and 7,665.91 is: 11,503.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705.77 : 32,573.17 = 7,665.91 : x
  2. Step 2: Convert to fraction form
    21,705.77/32,573.17 = 7,665.91/x
  3. Step 3: Cross multiply
    21,705.77x = 32,573.17 × 7,665.91
  4. Step 4: Simplify right side
    21,705.77x = 249,702,917.78
  5. Step 5: Solve for x
    x = 249,702,917.78/21,705.77
  6. Step 6: Final answer
    x = 11,503.99

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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.