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Finding the Fourth Proportional to 15,534.17, 21,437.22 and 8,460.60

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Solution

The fourth proportional to 15,534.17, 21,437.22 and 8,460.60 is: 11,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,534.17 : 21,437.22 = 8,460.60 : x
  2. Step 2: Convert to fraction form
    15,534.17/21,437.22 = 8,460.60/x
  3. Step 3: Cross multiply
    15,534.17x = 21,437.22 × 8,460.60
  4. Step 4: Simplify right side
    15,534.17x = 181,371,743.53
  5. Step 5: Solve for x
    x = 181,371,743.53/15,534.17
  6. Step 6: Final answer
    x = 11,675.66

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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.