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Finding the Fourth Proportional to 14,678.69, 22,017.95 and 3,585.44

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Solution

The fourth proportional to 14,678.69, 22,017.95 and 3,585.44 is: 5,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.69 : 22,017.95 = 3,585.44 : x
  2. Step 2: Convert to fraction form
    14,678.69/22,017.95 = 3,585.44/x
  3. Step 3: Cross multiply
    14,678.69x = 22,017.95 × 3,585.44
  4. Step 4: Simplify right side
    14,678.69x = 78,943,937.52
  5. Step 5: Solve for x
    x = 78,943,937.52/14,678.69
  6. Step 6: Final answer
    x = 5,378.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.