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Finding the Fourth Proportional to 15,386, 21,232.77 and 9,016.35

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Solution

The fourth proportional to 15,386, 21,232.77 and 9,016.35 is: 12,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,386 : 21,232.77 = 9,016.35 : x
  2. Step 2: Convert to fraction form
    15,386/21,232.77 = 9,016.35/x
  3. Step 3: Cross multiply
    15,386x = 21,232.77 × 9,016.35
  4. Step 4: Simplify right side
    15,386x = 191,442,085.79
  5. Step 5: Solve for x
    x = 191,442,085.79/15,386
  6. Step 6: Final answer
    x = 12,442.62

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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.