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Finding the Fourth Proportional to 19,762.74, 29,655.79 and 7,291.53

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Solution

The fourth proportional to 19,762.74, 29,655.79 and 7,291.53 is: 10,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.74 : 29,655.79 = 7,291.53 : x
  2. Step 2: Convert to fraction form
    19,762.74/29,655.79 = 7,291.53/x
  3. Step 3: Cross multiply
    19,762.74x = 29,655.79 × 7,291.53
  4. Step 4: Simplify right side
    19,762.74x = 216,236,082.46
  5. Step 5: Solve for x
    x = 216,236,082.46/19,762.74
  6. Step 6: Final answer
    x = 10,941.60

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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.