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Finding the Fourth Proportional to 22,613.46, 31,205.98 and 12,541.88

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Solution

The fourth proportional to 22,613.46, 31,205.98 and 12,541.88 is: 17,307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,613.46 : 31,205.98 = 12,541.88 : x
  2. Step 2: Convert to fraction form
    22,613.46/31,205.98 = 12,541.88/x
  3. Step 3: Cross multiply
    22,613.46x = 31,205.98 × 12,541.88
  4. Step 4: Simplify right side
    22,613.46x = 391,381,656.44
  5. Step 5: Solve for x
    x = 391,381,656.44/22,613.46
  6. Step 6: Final answer
    x = 17,307.46

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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.