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Finding the Fourth Proportional to 20,905.47, 28,840.14 and 12,407.95

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Solution

The fourth proportional to 20,905.47, 28,840.14 and 12,407.95 is: 17,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,905.47 : 28,840.14 = 12,407.95 : x
  2. Step 2: Convert to fraction form
    20,905.47/28,840.14 = 12,407.95/x
  3. Step 3: Cross multiply
    20,905.47x = 28,840.14 × 12,407.95
  4. Step 4: Simplify right side
    20,905.47x = 357,847,015.11
  5. Step 5: Solve for x
    x = 357,847,015.11/20,905.47
  6. Step 6: Final answer
    x = 17,117.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.