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Finding the Fourth Proportional to 24,854.72, 34,300.46 and 14,246.40

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Solution

The fourth proportional to 24,854.72, 34,300.46 and 14,246.40 is: 19,660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.72 : 34,300.46 = 14,246.40 : x
  2. Step 2: Convert to fraction form
    24,854.72/34,300.46 = 14,246.40/x
  3. Step 3: Cross multiply
    24,854.72x = 34,300.46 × 14,246.40
  4. Step 4: Simplify right side
    24,854.72x = 488,658,073.34
  5. Step 5: Solve for x
    x = 488,658,073.34/24,854.72
  6. Step 6: Final answer
    x = 19,660.57

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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.