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Finding the Fourth Proportional to 14,121.52, 21,178.22 and 5,688

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Solution

The fourth proportional to 14,121.52, 21,178.22 and 5,688 is: 8,530.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121.52 : 21,178.22 = 5,688 : x
  2. Step 2: Convert to fraction form
    14,121.52/21,178.22 = 5,688/x
  3. Step 3: Cross multiply
    14,121.52x = 21,178.22 × 5,688
  4. Step 4: Simplify right side
    14,121.52x = 120,461,715.36
  5. Step 5: Solve for x
    x = 120,461,715.36/14,121.52
  6. Step 6: Final answer
    x = 8,530.36

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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.