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Finding the Fourth Proportional to 23,307.91, 32,164.86 and 12,697.63

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Solution

The fourth proportional to 23,307.91, 32,164.86 and 12,697.63 is: 17,522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,307.91 : 32,164.86 = 12,697.63 : x
  2. Step 2: Convert to fraction form
    23,307.91/32,164.86 = 12,697.63/x
  3. Step 3: Cross multiply
    23,307.91x = 32,164.86 × 12,697.63
  4. Step 4: Simplify right side
    23,307.91x = 408,417,491.28
  5. Step 5: Solve for x
    x = 408,417,491.28/23,307.91
  6. Step 6: Final answer
    x = 17,522.70

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