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Finding the Fourth Proportional to 23,699.30, 32,703.38 and 13,088.10

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Solution

The fourth proportional to 23,699.30, 32,703.38 and 13,088.10 is: 18,060.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,699.30 : 32,703.38 = 13,088.10 : x
  2. Step 2: Convert to fraction form
    23,699.30/32,703.38 = 13,088.10/x
  3. Step 3: Cross multiply
    23,699.30x = 32,703.38 × 13,088.10
  4. Step 4: Simplify right side
    23,699.30x = 428,025,107.78
  5. Step 5: Solve for x
    x = 428,025,107.78/23,699.30
  6. Step 6: Final answer
    x = 18,060.66

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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.