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Finding the Fourth Proportional to 15,592, 21,534.40 and 12,097.60

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Solution

The fourth proportional to 15,592, 21,534.40 and 12,097.60 is: 16,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,592 : 21,534.40 = 12,097.60 : x
  2. Step 2: Convert to fraction form
    15,592/21,534.40 = 12,097.60/x
  3. Step 3: Cross multiply
    15,592x = 21,534.40 × 12,097.60
  4. Step 4: Simplify right side
    15,592x = 260,514,557.44
  5. Step 5: Solve for x
    x = 260,514,557.44/15,592
  6. Step 6: Final answer
    x = 16,708.22

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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.