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Finding the Fourth Proportional to 22,977.60, 34,466.40 and 9,831.30

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Solution

The fourth proportional to 22,977.60, 34,466.40 and 9,831.30 is: 14,746.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977.60 : 34,466.40 = 9,831.30 : x
  2. Step 2: Convert to fraction form
    22,977.60/34,466.40 = 9,831.30/x
  3. Step 3: Cross multiply
    22,977.60x = 34,466.40 × 9,831.30
  4. Step 4: Simplify right side
    22,977.60x = 338,849,518.32
  5. Step 5: Solve for x
    x = 338,849,518.32/22,977.60
  6. Step 6: Final answer
    x = 14,746.95

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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.