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Finding the Fourth Proportional to 28,423.16, 42,643.50 and 11,791

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Solution

The fourth proportional to 28,423.16, 42,643.50 and 11,791 is: 17,690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,423.16 : 42,643.50 = 11,791 : x
  2. Step 2: Convert to fraction form
    28,423.16/42,643.50 = 11,791/x
  3. Step 3: Cross multiply
    28,423.16x = 42,643.50 × 11,791
  4. Step 4: Simplify right side
    28,423.16x = 502,809,508.50
  5. Step 5: Solve for x
    x = 502,809,508.50/28,423.16
  6. Step 6: Final answer
    x = 17,690.13

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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.