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Finding the Fourth Proportional to 18,970.32, 28,453.14 and 5,831.76

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Solution

The fourth proportional to 18,970.32, 28,453.14 and 5,831.76 is: 8,746.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,970.32 : 28,453.14 = 5,831.76 : x
  2. Step 2: Convert to fraction form
    18,970.32/28,453.14 = 5,831.76/x
  3. Step 3: Cross multiply
    18,970.32x = 28,453.14 × 5,831.76
  4. Step 4: Simplify right side
    18,970.32x = 165,931,883.73
  5. Step 5: Solve for x
    x = 165,931,883.73/18,970.32
  6. Step 6: Final answer
    x = 8,746.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.