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Finding the Fourth Proportional to 13,129.71, 19,702.07 and 4,808.63

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Solution

The fourth proportional to 13,129.71, 19,702.07 and 4,808.63 is: 7,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.71 : 19,702.07 = 4,808.63 : x
  2. Step 2: Convert to fraction form
    13,129.71/19,702.07 = 4,808.63/x
  3. Step 3: Cross multiply
    13,129.71x = 19,702.07 × 4,808.63
  4. Step 4: Simplify right side
    13,129.71x = 94,739,842.31
  5. Step 5: Solve for x
    x = 94,739,842.31/13,129.71
  6. Step 6: Final answer
    x = 7,215.68

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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.