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Finding the Fourth Proportional to 15,045.75, 22,569.03 and 4,657.50

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Solution

The fourth proportional to 15,045.75, 22,569.03 and 4,657.50 is: 6,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,045.75 : 22,569.03 = 4,657.50 : x
  2. Step 2: Convert to fraction form
    15,045.75/22,569.03 = 4,657.50/x
  3. Step 3: Cross multiply
    15,045.75x = 22,569.03 × 4,657.50
  4. Step 4: Simplify right side
    15,045.75x = 105,115,257.23
  5. Step 5: Solve for x
    x = 105,115,257.23/15,045.75
  6. Step 6: Final answer
    x = 6,986.38

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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.