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Finding the Fourth Proportional to 15,416.40, 21,273.96 and 8,702.16

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Solution

The fourth proportional to 15,416.40, 21,273.96 and 8,702.16 is: 12,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,416.40 : 21,273.96 = 8,702.16 : x
  2. Step 2: Convert to fraction form
    15,416.40/21,273.96 = 8,702.16/x
  3. Step 3: Cross multiply
    15,416.40x = 21,273.96 × 8,702.16
  4. Step 4: Simplify right side
    15,416.40x = 185,129,403.75
  5. Step 5: Solve for x
    x = 185,129,403.75/15,416.40
  6. Step 6: Final answer
    x = 12,008.60

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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.