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Finding the Fourth Proportional to 22,762.80, 31,407.36 and 13,808.52

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Solution

The fourth proportional to 22,762.80, 31,407.36 and 13,808.52 is: 19,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.80 : 31,407.36 = 13,808.52 : x
  2. Step 2: Convert to fraction form
    22,762.80/31,407.36 = 13,808.52/x
  3. Step 3: Cross multiply
    22,762.80x = 31,407.36 × 13,808.52
  4. Step 4: Simplify right side
    22,762.80x = 433,689,158.71
  5. Step 5: Solve for x
    x = 433,689,158.71/22,762.80
  6. Step 6: Final answer
    x = 19,052.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.