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Finding the Fourth Proportional to 19,762.41, 29,655.32 and 7,291.22

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Solution

The fourth proportional to 19,762.41, 29,655.32 and 7,291.22 is: 10,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.41 : 29,655.32 = 7,291.22 : x
  2. Step 2: Convert to fraction form
    19,762.41/29,655.32 = 7,291.22/x
  3. Step 3: Cross multiply
    19,762.41x = 29,655.32 × 7,291.22
  4. Step 4: Simplify right side
    19,762.41x = 216,223,277.56
  5. Step 5: Solve for x
    x = 216,223,277.56/19,762.41
  6. Step 6: Final answer
    x = 10,941.14

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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.