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Finding the Fourth Proportional to 14,825.20, 22,235.88 and 5,590

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Solution

The fourth proportional to 14,825.20, 22,235.88 and 5,590 is: 8,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,825.20 : 22,235.88 = 5,590 : x
  2. Step 2: Convert to fraction form
    14,825.20/22,235.88 = 5,590/x
  3. Step 3: Cross multiply
    14,825.20x = 22,235.88 × 5,590
  4. Step 4: Simplify right side
    14,825.20x = 124,298,569.20
  5. Step 5: Solve for x
    x = 124,298,569.20/14,825.20
  6. Step 6: Final answer
    x = 8,384.28

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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.