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Finding the Fourth Proportional to 10,342.40, 15,519 and 9,784.76

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Solution

The fourth proportional to 10,342.40, 15,519 and 9,784.76 is: 14,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.40 : 15,519 = 9,784.76 : x
  2. Step 2: Convert to fraction form
    10,342.40/15,519 = 9,784.76/x
  3. Step 3: Cross multiply
    10,342.40x = 15,519 × 9,784.76
  4. Step 4: Simplify right side
    10,342.40x = 151,849,690.44
  5. Step 5: Solve for x
    x = 151,849,690.44/10,342.40
  6. Step 6: Final answer
    x = 14,682.25

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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.