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Finding the Fourth Proportional to 14,945.08, 22,422.48 and 7,154.50

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Solution

The fourth proportional to 14,945.08, 22,422.48 and 7,154.50 is: 10,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,945.08 : 22,422.48 = 7,154.50 : x
  2. Step 2: Convert to fraction form
    14,945.08/22,422.48 = 7,154.50/x
  3. Step 3: Cross multiply
    14,945.08x = 22,422.48 × 7,154.50
  4. Step 4: Simplify right side
    14,945.08x = 160,421,633.16
  5. Step 5: Solve for x
    x = 160,421,633.16/14,945.08
  6. Step 6: Final answer
    x = 10,734.08

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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.