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Finding the Fourth Proportional to 25,752.72, 38,626.08 and 7,032

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Solution

The fourth proportional to 25,752.72, 38,626.08 and 7,032 is: 10,547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,752.72 : 38,626.08 = 7,032 : x
  2. Step 2: Convert to fraction form
    25,752.72/38,626.08 = 7,032/x
  3. Step 3: Cross multiply
    25,752.72x = 38,626.08 × 7,032
  4. Step 4: Simplify right side
    25,752.72x = 271,618,594.56
  5. Step 5: Solve for x
    x = 271,618,594.56/25,752.72
  6. Step 6: Final answer
    x = 10,547.18

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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.