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Finding the Fourth Proportional to 22,776.80, 31,432.03 and 12,704.98

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Solution

The fourth proportional to 22,776.80, 31,432.03 and 12,704.98 is: 17,532.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.80 : 31,432.03 = 12,704.98 : x
  2. Step 2: Convert to fraction form
    22,776.80/31,432.03 = 12,704.98/x
  3. Step 3: Cross multiply
    22,776.80x = 31,432.03 × 12,704.98
  4. Step 4: Simplify right side
    22,776.80x = 399,343,312.51
  5. Step 5: Solve for x
    x = 399,343,312.51/22,776.80
  6. Step 6: Final answer
    x = 17,532.90

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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.