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Finding the Fourth Proportional to 14,839.16, 22,258.74 and 6,070.50

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Solution

The fourth proportional to 14,839.16, 22,258.74 and 6,070.50 is: 9,105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,839.16 : 22,258.74 = 6,070.50 : x
  2. Step 2: Convert to fraction form
    14,839.16/22,258.74 = 6,070.50/x
  3. Step 3: Cross multiply
    14,839.16x = 22,258.74 × 6,070.50
  4. Step 4: Simplify right side
    14,839.16x = 135,121,650.82
  5. Step 5: Solve for x
    x = 135,121,650.82/14,839.16
  6. Step 6: Final answer
    x = 9,105.75

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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.