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Finding the Fourth Proportional to 13,878, 19,156.50 and 8,289

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Solution

The fourth proportional to 13,878, 19,156.50 and 8,289 is: 11,441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878 : 19,156.50 = 8,289 : x
  2. Step 2: Convert to fraction form
    13,878/19,156.50 = 8,289/x
  3. Step 3: Cross multiply
    13,878x = 19,156.50 × 8,289
  4. Step 4: Simplify right side
    13,878x = 158,788,228.50
  5. Step 5: Solve for x
    x = 158,788,228.50/13,878
  6. Step 6: Final answer
    x = 11,441.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.