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Finding the Fourth Proportional to 14,712.86, 22,062.34 and 5,346.35

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Solution

The fourth proportional to 14,712.86, 22,062.34 and 5,346.35 is: 8,017.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,712.86 : 22,062.34 = 5,346.35 : x
  2. Step 2: Convert to fraction form
    14,712.86/22,062.34 = 5,346.35/x
  3. Step 3: Cross multiply
    14,712.86x = 22,062.34 × 5,346.35
  4. Step 4: Simplify right side
    14,712.86x = 117,953,033.25
  5. Step 5: Solve for x
    x = 117,953,033.25/14,712.86
  6. Step 6: Final answer
    x = 8,017.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.