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Finding the Fourth Proportional to 14,277.92, 19,712.45 and 9,175.50

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Solution

The fourth proportional to 14,277.92, 19,712.45 and 9,175.50 is: 12,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,277.92 : 19,712.45 = 9,175.50 : x
  2. Step 2: Convert to fraction form
    14,277.92/19,712.45 = 9,175.50/x
  3. Step 3: Cross multiply
    14,277.92x = 19,712.45 × 9,175.50
  4. Step 4: Simplify right side
    14,277.92x = 180,871,607.91
  5. Step 5: Solve for x
    x = 180,871,607.91/14,277.92
  6. Step 6: Final answer
    x = 12,667.93

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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.