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Finding the Fourth Proportional to 14,868.16, 22,308.72 and 5,632

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Solution

The fourth proportional to 14,868.16, 22,308.72 and 5,632 is: 8,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,868.16 : 22,308.72 = 5,632 : x
  2. Step 2: Convert to fraction form
    14,868.16/22,308.72 = 5,632/x
  3. Step 3: Cross multiply
    14,868.16x = 22,308.72 × 5,632
  4. Step 4: Simplify right side
    14,868.16x = 125,642,711.04
  5. Step 5: Solve for x
    x = 125,642,711.04/14,868.16
  6. Step 6: Final answer
    x = 8,450.45

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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.