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Finding the Fourth Proportional to 14,309.50, 19,742.40 and 9,277.66

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Solution

The fourth proportional to 14,309.50, 19,742.40 and 9,277.66 is: 12,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.50 : 19,742.40 = 9,277.66 : x
  2. Step 2: Convert to fraction form
    14,309.50/19,742.40 = 9,277.66/x
  3. Step 3: Cross multiply
    14,309.50x = 19,742.40 × 9,277.66
  4. Step 4: Simplify right side
    14,309.50x = 183,163,274.78
  5. Step 5: Solve for x
    x = 183,163,274.78/14,309.50
  6. Step 6: Final answer
    x = 12,800.12

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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.