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Finding the Fourth Proportional to 15,442.32, 23,167.04 and 5,054

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Solution

The fourth proportional to 15,442.32, 23,167.04 and 5,054 is: 7,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442.32 : 23,167.04 = 5,054 : x
  2. Step 2: Convert to fraction form
    15,442.32/23,167.04 = 5,054/x
  3. Step 3: Cross multiply
    15,442.32x = 23,167.04 × 5,054
  4. Step 4: Simplify right side
    15,442.32x = 117,086,220.16
  5. Step 5: Solve for x
    x = 117,086,220.16/15,442.32
  6. Step 6: Final answer
    x = 7,582.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.