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Finding the Fourth Proportional to 22,984.57, 31,718.68 and 12,913.30

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Solution

The fourth proportional to 22,984.57, 31,718.68 and 12,913.30 is: 17,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984.57 : 31,718.68 = 12,913.30 : x
  2. Step 2: Convert to fraction form
    22,984.57/31,718.68 = 12,913.30/x
  3. Step 3: Cross multiply
    22,984.57x = 31,718.68 × 12,913.30
  4. Step 4: Simplify right side
    22,984.57x = 409,592,830.44
  5. Step 5: Solve for x
    x = 409,592,830.44/22,984.57
  6. Step 6: Final answer
    x = 17,820.34

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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.