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Finding the Fourth Proportional to 15,257.56, 22,887.16 and 4,868.50

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Solution

The fourth proportional to 15,257.56, 22,887.16 and 4,868.50 is: 7,303.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,257.56 : 22,887.16 = 4,868.50 : x
  2. Step 2: Convert to fraction form
    15,257.56/22,887.16 = 4,868.50/x
  3. Step 3: Cross multiply
    15,257.56x = 22,887.16 × 4,868.50
  4. Step 4: Simplify right side
    15,257.56x = 111,426,138.46
  5. Step 5: Solve for x
    x = 111,426,138.46/15,257.56
  6. Step 6: Final answer
    x = 7,303.01

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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.