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Finding the Fourth Proportional to 14,410.19, 19,878.03 and 8,440.71

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Solution

The fourth proportional to 14,410.19, 19,878.03 and 8,440.71 is: 11,643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.19 : 19,878.03 = 8,440.71 : x
  2. Step 2: Convert to fraction form
    14,410.19/19,878.03 = 8,440.71/x
  3. Step 3: Cross multiply
    14,410.19x = 19,878.03 × 8,440.71
  4. Step 4: Simplify right side
    14,410.19x = 167,784,686.60
  5. Step 5: Solve for x
    x = 167,784,686.60/14,410.19
  6. Step 6: Final answer
    x = 11,643.48

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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.