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Finding the Fourth Proportional to 15,104, 22,657.28 and 4,160

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Solution

The fourth proportional to 15,104, 22,657.28 and 4,160 is: 6,240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,104 : 22,657.28 = 4,160 : x
  2. Step 2: Convert to fraction form
    15,104/22,657.28 = 4,160/x
  3. Step 3: Cross multiply
    15,104x = 22,657.28 × 4,160
  4. Step 4: Simplify right side
    15,104x = 94,254,284.80
  5. Step 5: Solve for x
    x = 94,254,284.80/15,104
  6. Step 6: Final answer
    x = 6,240.35

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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.