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Finding the Fourth Proportional to 14,100.75, 19,453.50 and 9,064.17

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Solution

The fourth proportional to 14,100.75, 19,453.50 and 9,064.17 is: 12,505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,100.75 : 19,453.50 = 9,064.17 : x
  2. Step 2: Convert to fraction form
    14,100.75/19,453.50 = 9,064.17/x
  3. Step 3: Cross multiply
    14,100.75x = 19,453.50 × 9,064.17
  4. Step 4: Simplify right side
    14,100.75x = 176,329,831.10
  5. Step 5: Solve for x
    x = 176,329,831.10/14,100.75
  6. Step 6: Final answer
    x = 12,505.00

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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.