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Finding the Fourth Proportional to 19,002.46, 28,509.84 and 9,140.46

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Solution

The fourth proportional to 19,002.46, 28,509.84 and 9,140.46 is: 13,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,002.46 : 28,509.84 = 9,140.46 : x
  2. Step 2: Convert to fraction form
    19,002.46/28,509.84 = 9,140.46/x
  3. Step 3: Cross multiply
    19,002.46x = 28,509.84 × 9,140.46
  4. Step 4: Simplify right side
    19,002.46x = 260,593,052.13
  5. Step 5: Solve for x
    x = 260,593,052.13/19,002.46
  6. Step 6: Final answer
    x = 13,713.65

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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.