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Finding the Fourth Proportional to 15,569.58, 21,486.10 and 8,496.16

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Solution

The fourth proportional to 15,569.58, 21,486.10 and 8,496.16 is: 11,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,569.58 : 21,486.10 = 8,496.16 : x
  2. Step 2: Convert to fraction form
    15,569.58/21,486.10 = 8,496.16/x
  3. Step 3: Cross multiply
    15,569.58x = 21,486.10 × 8,496.16
  4. Step 4: Simplify right side
    15,569.58x = 182,549,343.38
  5. Step 5: Solve for x
    x = 182,549,343.38/15,569.58
  6. Step 6: Final answer
    x = 11,724.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.