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Finding the Fourth Proportional to 14,410.68, 21,569.04 and 7,820.52

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Solution

The fourth proportional to 14,410.68, 21,569.04 and 7,820.52 is: 11,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.68 : 21,569.04 = 7,820.52 : x
  2. Step 2: Convert to fraction form
    14,410.68/21,569.04 = 7,820.52/x
  3. Step 3: Cross multiply
    14,410.68x = 21,569.04 × 7,820.52
  4. Step 4: Simplify right side
    14,410.68x = 168,681,108.70
  5. Step 5: Solve for x
    x = 168,681,108.70/14,410.68
  6. Step 6: Final answer
    x = 11,705.28

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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.