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Finding the Fourth Proportional to 15,585.32, 21,507.63 and 9,616.97

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Solution

The fourth proportional to 15,585.32, 21,507.63 and 9,616.97 is: 13,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,585.32 : 21,507.63 = 9,616.97 : x
  2. Step 2: Convert to fraction form
    15,585.32/21,507.63 = 9,616.97/x
  3. Step 3: Cross multiply
    15,585.32x = 21,507.63 × 9,616.97
  4. Step 4: Simplify right side
    15,585.32x = 206,838,124.94
  5. Step 5: Solve for x
    x = 206,838,124.94/15,585.32
  6. Step 6: Final answer
    x = 13,271.35

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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.