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Finding the Fourth Proportional to 15,460, 21,325.36 and 9,168.16

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Solution

The fourth proportional to 15,460, 21,325.36 and 9,168.16 is: 12,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,460 : 21,325.36 = 9,168.16 : x
  2. Step 2: Convert to fraction form
    15,460/21,325.36 = 9,168.16/x
  3. Step 3: Cross multiply
    15,460x = 21,325.36 × 9,168.16
  4. Step 4: Simplify right side
    15,460x = 195,514,312.54
  5. Step 5: Solve for x
    x = 195,514,312.54/15,460
  6. Step 6: Final answer
    x = 12,646.46

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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.