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Finding the Fourth Proportional to 15,616.16, 23,426.40 and 6,380

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Solution

The fourth proportional to 15,616.16, 23,426.40 and 6,380 is: 9,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,616.16 : 23,426.40 = 6,380 : x
  2. Step 2: Convert to fraction form
    15,616.16/23,426.40 = 6,380/x
  3. Step 3: Cross multiply
    15,616.16x = 23,426.40 × 6,380
  4. Step 4: Simplify right side
    15,616.16x = 149,460,432
  5. Step 5: Solve for x
    x = 149,460,432/15,616.16
  6. Step 6: Final answer
    x = 9,570.88

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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.