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Finding the Fourth Proportional to 22,706.30, 31,335.58 and 13,748.74

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Solution

The fourth proportional to 22,706.30, 31,335.58 and 13,748.74 is: 18,973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.30 : 31,335.58 = 13,748.74 : x
  2. Step 2: Convert to fraction form
    22,706.30/31,335.58 = 13,748.74/x
  3. Step 3: Cross multiply
    22,706.30x = 31,335.58 × 13,748.74
  4. Step 4: Simplify right side
    22,706.30x = 430,824,742.17
  5. Step 5: Solve for x
    x = 430,824,742.17/22,706.30
  6. Step 6: Final answer
    x = 18,973.80

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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.