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Finding the Fourth Proportional to 19,762.50, 29,655.39 and 7,291.23

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Solution

The fourth proportional to 19,762.50, 29,655.39 and 7,291.23 is: 10,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.50 : 29,655.39 = 7,291.23 : x
  2. Step 2: Convert to fraction form
    19,762.50/29,655.39 = 7,291.23/x
  3. Step 3: Cross multiply
    19,762.50x = 29,655.39 × 7,291.23
  4. Step 4: Simplify right side
    19,762.50x = 216,224,269.23
  5. Step 5: Solve for x
    x = 216,224,269.23/19,762.50
  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.