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Finding the Fourth Proportional to 34,820.81, 52,224.53 and 9,854.83

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Solution

The fourth proportional to 34,820.81, 52,224.53 and 9,854.83 is: 14,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,820.81 : 52,224.53 = 9,854.83 : x
  2. Step 2: Convert to fraction form
    34,820.81/52,224.53 = 9,854.83/x
  3. Step 3: Cross multiply
    34,820.81x = 52,224.53 × 9,854.83
  4. Step 4: Simplify right side
    34,820.81x = 514,663,864.98
  5. Step 5: Solve for x
    x = 514,663,864.98/34,820.81
  6. Step 6: Final answer
    x = 14,780.35

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