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Finding the Fourth Proportional to 19,762.49, 29,655.42 and 7,291.28

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Solution

The fourth proportional to 19,762.49, 29,655.42 and 7,291.28 is: 10,941.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.49 : 29,655.42 = 7,291.28 : x
  2. Step 2: Convert to fraction form
    19,762.49/29,655.42 = 7,291.28/x
  3. Step 3: Cross multiply
    19,762.49x = 29,655.42 × 7,291.28
  4. Step 4: Simplify right side
    19,762.49x = 216,226,044.88
  5. Step 5: Solve for x
    x = 216,226,044.88/19,762.49
  6. Step 6: Final answer
    x = 10,941.23

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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.