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Finding the Fourth Proportional to 14,252.84, 19,667.22 and 7,878.58

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Solution

The fourth proportional to 14,252.84, 19,667.22 and 7,878.58 is: 10,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,252.84 : 19,667.22 = 7,878.58 : x
  2. Step 2: Convert to fraction form
    14,252.84/19,667.22 = 7,878.58/x
  3. Step 3: Cross multiply
    14,252.84x = 19,667.22 × 7,878.58
  4. Step 4: Simplify right side
    14,252.84x = 154,949,731.75
  5. Step 5: Solve for x
    x = 154,949,731.75/14,252.84
  6. Step 6: Final answer
    x = 10,871.50

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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.