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Finding the Fourth Proportional to 23,190.98, 32,002.68 and 12,580.38

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Solution

The fourth proportional to 23,190.98, 32,002.68 and 12,580.38 is: 17,360.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,190.98 : 32,002.68 = 12,580.38 : x
  2. Step 2: Convert to fraction form
    23,190.98/32,002.68 = 12,580.38/x
  3. Step 3: Cross multiply
    23,190.98x = 32,002.68 × 12,580.38
  4. Step 4: Simplify right side
    23,190.98x = 402,605,875.42
  5. Step 5: Solve for x
    x = 402,605,875.42/23,190.98
  6. Step 6: Final answer
    x = 17,360.45

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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.