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Finding the Fourth Proportional to 14,455.50, 19,948.59 and 7,831.50

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Solution

The fourth proportional to 14,455.50, 19,948.59 and 7,831.50 is: 10,807.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,455.50 : 19,948.59 = 7,831.50 : x
  2. Step 2: Convert to fraction form
    14,455.50/19,948.59 = 7,831.50/x
  3. Step 3: Cross multiply
    14,455.50x = 19,948.59 × 7,831.50
  4. Step 4: Simplify right side
    14,455.50x = 156,227,382.59
  5. Step 5: Solve for x
    x = 156,227,382.59/14,455.50
  6. Step 6: Final answer
    x = 10,807.47

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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.