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Finding the Fourth Proportional to 19,323.50, 26,666.43 and 10,940

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Solution

The fourth proportional to 19,323.50, 26,666.43 and 10,940 is: 15,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,323.50 : 26,666.43 = 10,940 : x
  2. Step 2: Convert to fraction form
    19,323.50/26,666.43 = 10,940/x
  3. Step 3: Cross multiply
    19,323.50x = 26,666.43 × 10,940
  4. Step 4: Simplify right side
    19,323.50x = 291,730,744.20
  5. Step 5: Solve for x
    x = 291,730,744.20/19,323.50
  6. Step 6: Final answer
    x = 15,097.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.