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Finding the Fourth Proportional to 14,881.30, 22,323.30 and 6,114.40

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Solution

The fourth proportional to 14,881.30, 22,323.30 and 6,114.40 is: 9,172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,881.30 : 22,323.30 = 6,114.40 : x
  2. Step 2: Convert to fraction form
    14,881.30/22,323.30 = 6,114.40/x
  3. Step 3: Cross multiply
    14,881.30x = 22,323.30 × 6,114.40
  4. Step 4: Simplify right side
    14,881.30x = 136,493,585.52
  5. Step 5: Solve for x
    x = 136,493,585.52/14,881.30
  6. Step 6: Final answer
    x = 9,172.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.