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Finding the Fourth Proportional to 23,307.84, 32,164.78 and 12,697.46

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Solution

The fourth proportional to 23,307.84, 32,164.78 and 12,697.46 is: 17,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,307.84 : 32,164.78 = 12,697.46 : x
  2. Step 2: Convert to fraction form
    23,307.84/32,164.78 = 12,697.46/x
  3. Step 3: Cross multiply
    23,307.84x = 32,164.78 × 12,697.46
  4. Step 4: Simplify right side
    23,307.84x = 408,411,007.46
  5. Step 5: Solve for x
    x = 408,411,007.46/23,307.84
  6. Step 6: Final answer
    x = 17,522.47

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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.