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Finding the Fourth Proportional to 22,574.34, 31,145.85 and 14,603.94

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Solution

The fourth proportional to 22,574.34, 31,145.85 and 14,603.94 is: 20,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,574.34 : 31,145.85 = 14,603.94 : x
  2. Step 2: Convert to fraction form
    22,574.34/31,145.85 = 14,603.94/x
  3. Step 3: Cross multiply
    22,574.34x = 31,145.85 × 14,603.94
  4. Step 4: Simplify right side
    22,574.34x = 454,852,124.65
  5. Step 5: Solve for x
    x = 454,852,124.65/22,574.34
  6. Step 6: Final answer
    x = 20,149.08

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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.