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Finding the Fourth Proportional to 19,705.71, 29,547.72 and 13,472.76

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Solution

The fourth proportional to 19,705.71, 29,547.72 and 13,472.76 is: 20,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.71 : 29,547.72 = 13,472.76 : x
  2. Step 2: Convert to fraction form
    19,705.71/29,547.72 = 13,472.76/x
  3. Step 3: Cross multiply
    19,705.71x = 29,547.72 × 13,472.76
  4. Step 4: Simplify right side
    19,705.71x = 398,089,340.11
  5. Step 5: Solve for x
    x = 398,089,340.11/19,705.71
  6. Step 6: Final answer
    x = 20,201.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.