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Finding the Fourth Proportional to 14,077.30, 19,426.52 and 7,704.02

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Solution

The fourth proportional to 14,077.30, 19,426.52 and 7,704.02 is: 10,631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.30 : 19,426.52 = 7,704.02 : x
  2. Step 2: Convert to fraction form
    14,077.30/19,426.52 = 7,704.02/x
  3. Step 3: Cross multiply
    14,077.30x = 19,426.52 × 7,704.02
  4. Step 4: Simplify right side
    14,077.30x = 149,662,298.61
  5. Step 5: Solve for x
    x = 149,662,298.61/14,077.30
  6. Step 6: Final answer
    x = 10,631.46

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