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Finding the Fourth Proportional to 15,120.84, 22,681.20 and 4,027.50

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Solution

The fourth proportional to 15,120.84, 22,681.20 and 4,027.50 is: 6,041.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,120.84 : 22,681.20 = 4,027.50 : x
  2. Step 2: Convert to fraction form
    15,120.84/22,681.20 = 4,027.50/x
  3. Step 3: Cross multiply
    15,120.84x = 22,681.20 × 4,027.50
  4. Step 4: Simplify right side
    15,120.84x = 91,348,533
  5. Step 5: Solve for x
    x = 91,348,533/15,120.84
  6. Step 6: Final answer
    x = 6,041.23

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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.