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Finding the Fourth Proportional to 16,686.32, 23,023.92 and 9,516.10

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Solution

The fourth proportional to 16,686.32, 23,023.92 and 9,516.10 is: 13,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,686.32 : 23,023.92 = 9,516.10 : x
  2. Step 2: Convert to fraction form
    16,686.32/23,023.92 = 9,516.10/x
  3. Step 3: Cross multiply
    16,686.32x = 23,023.92 × 9,516.10
  4. Step 4: Simplify right side
    16,686.32x = 219,097,925.11
  5. Step 5: Solve for x
    x = 219,097,925.11/16,686.32
  6. Step 6: Final answer
    x = 13,130.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.