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Finding the Fourth Proportional to 19,204.68, 26,502.30 and 10,706.70

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Solution

The fourth proportional to 19,204.68, 26,502.30 and 10,706.70 is: 14,775.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,204.68 : 26,502.30 = 10,706.70 : x
  2. Step 2: Convert to fraction form
    19,204.68/26,502.30 = 10,706.70/x
  3. Step 3: Cross multiply
    19,204.68x = 26,502.30 × 10,706.70
  4. Step 4: Simplify right side
    19,204.68x = 283,752,175.41
  5. Step 5: Solve for x
    x = 283,752,175.41/19,204.68
  6. Step 6: Final answer
    x = 14,775.16

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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.