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Finding the Fourth Proportional to 14,951.50, 22,416 and 9,030.40

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Solution

The fourth proportional to 14,951.50, 22,416 and 9,030.40 is: 13,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,951.50 : 22,416 = 9,030.40 : x
  2. Step 2: Convert to fraction form
    14,951.50/22,416 = 9,030.40/x
  3. Step 3: Cross multiply
    14,951.50x = 22,416 × 9,030.40
  4. Step 4: Simplify right side
    14,951.50x = 202,425,446.40
  5. Step 5: Solve for x
    x = 202,425,446.40/14,951.50
  6. Step 6: Final answer
    x = 13,538.81

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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.