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Finding the Fourth Proportional to 14,854.61, 20,498.77 and 8,889.57

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Solution

The fourth proportional to 14,854.61, 20,498.77 and 8,889.57 is: 12,267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.61 : 20,498.77 = 8,889.57 : x
  2. Step 2: Convert to fraction form
    14,854.61/20,498.77 = 8,889.57/x
  3. Step 3: Cross multiply
    14,854.61x = 20,498.77 × 8,889.57
  4. Step 4: Simplify right side
    14,854.61x = 182,225,206.38
  5. Step 5: Solve for x
    x = 182,225,206.38/14,854.61
  6. Step 6: Final answer
    x = 12,267.25

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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.