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Finding the Fourth Proportional to 13,878.76, 19,152.48 and 8,288.68

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Solution

The fourth proportional to 13,878.76, 19,152.48 and 8,288.68 is: 11,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.76 : 19,152.48 = 8,288.68 : x
  2. Step 2: Convert to fraction form
    13,878.76/19,152.48 = 8,288.68/x
  3. Step 3: Cross multiply
    13,878.76x = 19,152.48 × 8,288.68
  4. Step 4: Simplify right side
    13,878.76x = 158,748,777.93
  5. Step 5: Solve for x
    x = 158,748,777.93/13,878.76
  6. Step 6: Final answer
    x = 11,438.25

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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.