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Finding the Fourth Proportional to 13,985.58, 20,978.16 and 5,665.52

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Solution

The fourth proportional to 13,985.58, 20,978.16 and 5,665.52 is: 8,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.58 : 20,978.16 = 5,665.52 : x
  2. Step 2: Convert to fraction form
    13,985.58/20,978.16 = 5,665.52/x
  3. Step 3: Cross multiply
    13,985.58x = 20,978.16 × 5,665.52
  4. Step 4: Simplify right side
    13,985.58x = 118,852,185.04
  5. Step 5: Solve for x
    x = 118,852,185.04/13,985.58
  6. Step 6: Final answer
    x = 8,498.19

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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.