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Finding the Fourth Proportional to 19,215, 26,517.60 and 10,831.50

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Solution

The fourth proportional to 19,215, 26,517.60 and 10,831.50 is: 14,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,215 : 26,517.60 = 10,831.50 : x
  2. Step 2: Convert to fraction form
    19,215/26,517.60 = 10,831.50/x
  3. Step 3: Cross multiply
    19,215x = 26,517.60 × 10,831.50
  4. Step 4: Simplify right side
    19,215x = 287,225,384.40
  5. Step 5: Solve for x
    x = 287,225,384.40/19,215
  6. Step 6: Final answer
    x = 14,947.98

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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.