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Finding the Fourth Proportional to 19,876.65, 27,430.28 and 10,924.38

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Solution

The fourth proportional to 19,876.65, 27,430.28 and 10,924.38 is: 15,075.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.65 : 27,430.28 = 10,924.38 : x
  2. Step 2: Convert to fraction form
    19,876.65/27,430.28 = 10,924.38/x
  3. Step 3: Cross multiply
    19,876.65x = 27,430.28 × 10,924.38
  4. Step 4: Simplify right side
    19,876.65x = 299,658,802.23
  5. Step 5: Solve for x
    x = 299,658,802.23/19,876.65
  6. Step 6: Final answer
    x = 15,075.92

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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.