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Finding the Fourth Proportional to 14,701.79, 20,280.71 and 9,314.72

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Solution

The fourth proportional to 14,701.79, 20,280.71 and 9,314.72 is: 12,849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.79 : 20,280.71 = 9,314.72 : x
  2. Step 2: Convert to fraction form
    14,701.79/20,280.71 = 9,314.72/x
  3. Step 3: Cross multiply
    14,701.79x = 20,280.71 × 9,314.72
  4. Step 4: Simplify right side
    14,701.79x = 188,909,088.48
  5. Step 5: Solve for x
    x = 188,909,088.48/14,701.79
  6. Step 6: Final answer
    x = 12,849.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.