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Finding the Fourth Proportional to 14,876.47, 22,314.09 and 6,111.16

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Solution

The fourth proportional to 14,876.47, 22,314.09 and 6,111.16 is: 9,166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,876.47 : 22,314.09 = 6,111.16 : x
  2. Step 2: Convert to fraction form
    14,876.47/22,314.09 = 6,111.16/x
  3. Step 3: Cross multiply
    14,876.47x = 22,314.09 × 6,111.16
  4. Step 4: Simplify right side
    14,876.47x = 136,364,974.24
  5. Step 5: Solve for x
    x = 136,364,974.24/14,876.47
  6. Step 6: Final answer
    x = 9,166.49

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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.