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Finding the Fourth Proportional to 23,616.23, 32,587.02 and 13,006.53

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Solution

The fourth proportional to 23,616.23, 32,587.02 and 13,006.53 is: 17,947.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.23 : 32,587.02 = 13,006.53 : x
  2. Step 2: Convert to fraction form
    23,616.23/32,587.02 = 13,006.53/x
  3. Step 3: Cross multiply
    23,616.23x = 32,587.02 × 13,006.53
  4. Step 4: Simplify right side
    23,616.23x = 423,844,053.24
  5. Step 5: Solve for x
    x = 423,844,053.24/23,616.23
  6. Step 6: Final answer
    x = 17,947.16

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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.