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Finding the Fourth Proportional to 21,831.32, 32,756.82 and 9,354.62

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Solution

The fourth proportional to 21,831.32, 32,756.82 and 9,354.62 is: 14,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,831.32 : 32,756.82 = 9,354.62 : x
  2. Step 2: Convert to fraction form
    21,831.32/32,756.82 = 9,354.62/x
  3. Step 3: Cross multiply
    21,831.32x = 32,756.82 × 9,354.62
  4. Step 4: Simplify right side
    21,831.32x = 306,427,603.51
  5. Step 5: Solve for x
    x = 306,427,603.51/21,831.32
  6. Step 6: Final answer
    x = 14,036.15

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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.