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Finding the Fourth Proportional to 13,014.71, 19,521.90 and 3,154.08

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Solution

The fourth proportional to 13,014.71, 19,521.90 and 3,154.08 is: 4,731.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.71 : 19,521.90 = 3,154.08 : x
  2. Step 2: Convert to fraction form
    13,014.71/19,521.90 = 3,154.08/x
  3. Step 3: Cross multiply
    13,014.71x = 19,521.90 × 3,154.08
  4. Step 4: Simplify right side
    13,014.71x = 61,573,524.91
  5. Step 5: Solve for x
    x = 61,573,524.91/13,014.71
  6. Step 6: Final answer
    x = 4,731.07

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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.