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Finding the Fourth Proportional to 14,686.81, 22,023.65 and 4,689.72

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Solution

The fourth proportional to 14,686.81, 22,023.65 and 4,689.72 is: 7,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.81 : 22,023.65 = 4,689.72 : x
  2. Step 2: Convert to fraction form
    14,686.81/22,023.65 = 4,689.72/x
  3. Step 3: Cross multiply
    14,686.81x = 22,023.65 × 4,689.72
  4. Step 4: Simplify right side
    14,686.81x = 103,284,763.60
  5. Step 5: Solve for x
    x = 103,284,763.60/14,686.81
  6. Step 6: Final answer
    x = 7,032.49

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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.