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Finding the Fourth Proportional to 28,238.95, 42,346.13 and 9,515.50

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Solution

The fourth proportional to 28,238.95, 42,346.13 and 9,515.50 is: 14,269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,238.95 : 42,346.13 = 9,515.50 : x
  2. Step 2: Convert to fraction form
    28,238.95/42,346.13 = 9,515.50/x
  3. Step 3: Cross multiply
    28,238.95x = 42,346.13 × 9,515.50
  4. Step 4: Simplify right side
    28,238.95x = 402,944,605.81
  5. Step 5: Solve for x
    x = 402,944,605.81/28,238.95
  6. Step 6: Final answer
    x = 14,269.11

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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.