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Finding the Fourth Proportional to 22,833.74, 31,510.44 and 12,762.18

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Solution

The fourth proportional to 22,833.74, 31,510.44 and 12,762.18 is: 17,611.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,833.74 : 31,510.44 = 12,762.18 : x
  2. Step 2: Convert to fraction form
    22,833.74/31,510.44 = 12,762.18/x
  3. Step 3: Cross multiply
    22,833.74x = 31,510.44 × 12,762.18
  4. Step 4: Simplify right side
    22,833.74x = 402,141,907.16
  5. Step 5: Solve for x
    x = 402,141,907.16/22,833.74
  6. Step 6: Final answer
    x = 17,611.74

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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.