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Finding the Fourth Proportional to 14,312.98, 19,747.87 and 9,277.41

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Solution

The fourth proportional to 14,312.98, 19,747.87 and 9,277.41 is: 12,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.98 : 19,747.87 = 9,277.41 : x
  2. Step 2: Convert to fraction form
    14,312.98/19,747.87 = 9,277.41/x
  3. Step 3: Cross multiply
    14,312.98x = 19,747.87 × 9,277.41
  4. Step 4: Simplify right side
    14,312.98x = 183,209,086.62
  5. Step 5: Solve for x
    x = 183,209,086.62/14,312.98
  6. Step 6: Final answer
    x = 12,800.21

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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.