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Finding the Fourth Proportional to 16,475.08, 22,736 and 9,402.16

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Solution

The fourth proportional to 16,475.08, 22,736 and 9,402.16 is: 12,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475.08 : 22,736 = 9,402.16 : x
  2. Step 2: Convert to fraction form
    16,475.08/22,736 = 9,402.16/x
  3. Step 3: Cross multiply
    16,475.08x = 22,736 × 9,402.16
  4. Step 4: Simplify right side
    16,475.08x = 213,767,509.76
  5. Step 5: Solve for x
    x = 213,767,509.76/16,475.08
  6. Step 6: Final answer
    x = 12,975.20

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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.