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Finding the Fourth Proportional to 22,510.94, 31,065.54 and 14,567

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Solution

The fourth proportional to 22,510.94, 31,065.54 and 14,567 is: 20,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,510.94 : 31,065.54 = 14,567 : x
  2. Step 2: Convert to fraction form
    22,510.94/31,065.54 = 14,567/x
  3. Step 3: Cross multiply
    22,510.94x = 31,065.54 × 14,567
  4. Step 4: Simplify right side
    22,510.94x = 452,531,721.18
  5. Step 5: Solve for x
    x = 452,531,721.18/22,510.94
  6. Step 6: Final answer
    x = 20,102.75

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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.