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Finding the Fourth Proportional to 13,277.70, 19,907.30 and 5,878.15

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Solution

The fourth proportional to 13,277.70, 19,907.30 and 5,878.15 is: 8,813.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277.70 : 19,907.30 = 5,878.15 : x
  2. Step 2: Convert to fraction form
    13,277.70/19,907.30 = 5,878.15/x
  3. Step 3: Cross multiply
    13,277.70x = 19,907.30 × 5,878.15
  4. Step 4: Simplify right side
    13,277.70x = 117,018,060.42
  5. Step 5: Solve for x
    x = 117,018,060.42/13,277.70
  6. Step 6: Final answer
    x = 8,813.13

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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.