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Finding the Fourth Proportional to 12,515.50, 18,775.68 and 5,590

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Solution

The fourth proportional to 12,515.50, 18,775.68 and 5,590 is: 8,386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,515.50 : 18,775.68 = 5,590 : x
  2. Step 2: Convert to fraction form
    12,515.50/18,775.68 = 5,590/x
  3. Step 3: Cross multiply
    12,515.50x = 18,775.68 × 5,590
  4. Step 4: Simplify right side
    12,515.50x = 104,956,051.20
  5. Step 5: Solve for x
    x = 104,956,051.20/12,515.50
  6. Step 6: Final answer
    x = 8,386.09

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Why These Related Problems?

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