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Finding the Fourth Proportional to 12,904.95, 19,357.61 and 5,884.68

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Solution

The fourth proportional to 12,904.95, 19,357.61 and 5,884.68 is: 8,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.95 : 19,357.61 = 5,884.68 : x
  2. Step 2: Convert to fraction form
    12,904.95/19,357.61 = 5,884.68/x
  3. Step 3: Cross multiply
    12,904.95x = 19,357.61 × 5,884.68
  4. Step 4: Simplify right side
    12,904.95x = 113,913,340.41
  5. Step 5: Solve for x
    x = 113,913,340.41/12,904.95
  6. Step 6: Final answer
    x = 8,827.10

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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.