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Finding the Fourth Proportional to 14,194.91, 21,294.93 and 5,870.40

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Solution

The fourth proportional to 14,194.91, 21,294.93 and 5,870.40 is: 8,806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.91 : 21,294.93 = 5,870.40 : x
  2. Step 2: Convert to fraction form
    14,194.91/21,294.93 = 5,870.40/x
  3. Step 3: Cross multiply
    14,194.91x = 21,294.93 × 5,870.40
  4. Step 4: Simplify right side
    14,194.91x = 125,009,757.07
  5. Step 5: Solve for x
    x = 125,009,757.07/14,194.91
  6. Step 6: Final answer
    x = 8,806.66

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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.