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Finding the Fourth Proportional to 23,705.10, 32,713.02 and 13,095.18

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Solution

The fourth proportional to 23,705.10, 32,713.02 and 13,095.18 is: 18,071.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,705.10 : 32,713.02 = 13,095.18 : x
  2. Step 2: Convert to fraction form
    23,705.10/32,713.02 = 13,095.18/x
  3. Step 3: Cross multiply
    23,705.10x = 32,713.02 × 13,095.18
  4. Step 4: Simplify right side
    23,705.10x = 428,382,885.24
  5. Step 5: Solve for x
    x = 428,382,885.24/23,705.10
  6. Step 6: Final answer
    x = 18,071.34

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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.