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Finding the Fourth Proportional to 14,854.63, 22,267.99 and 4,987

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Solution

The fourth proportional to 14,854.63, 22,267.99 and 4,987 is: 7,475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.63 : 22,267.99 = 4,987 : x
  2. Step 2: Convert to fraction form
    14,854.63/22,267.99 = 4,987/x
  3. Step 3: Cross multiply
    14,854.63x = 22,267.99 × 4,987
  4. Step 4: Simplify right side
    14,854.63x = 111,050,466.13
  5. Step 5: Solve for x
    x = 111,050,466.13/14,854.63
  6. Step 6: Final answer
    x = 7,475.82

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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.