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Finding the Fourth Proportional to 19,422.38, 26,802.78 and 10,924.50

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Solution

The fourth proportional to 19,422.38, 26,802.78 and 10,924.50 is: 15,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,422.38 : 26,802.78 = 10,924.50 : x
  2. Step 2: Convert to fraction form
    19,422.38/26,802.78 = 10,924.50/x
  3. Step 3: Cross multiply
    19,422.38x = 26,802.78 × 10,924.50
  4. Step 4: Simplify right side
    19,422.38x = 292,806,970.11
  5. Step 5: Solve for x
    x = 292,806,970.11/19,422.38
  6. Step 6: Final answer
    x = 15,075.75

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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.