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Finding the Fourth Proportional to 15,705.90, 21,669.75 and 9,737.82

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Solution

The fourth proportional to 15,705.90, 21,669.75 and 9,737.82 is: 13,435.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.90 : 21,669.75 = 9,737.82 : x
  2. Step 2: Convert to fraction form
    15,705.90/21,669.75 = 9,737.82/x
  3. Step 3: Cross multiply
    15,705.90x = 21,669.75 × 9,737.82
  4. Step 4: Simplify right side
    15,705.90x = 211,016,124.95
  5. Step 5: Solve for x
    x = 211,016,124.95/15,705.90
  6. Step 6: Final answer
    x = 13,435.47

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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.