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Finding the Fourth Proportional to 21,840.76, 32,766 and 6,258.52

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Solution

The fourth proportional to 21,840.76, 32,766 and 6,258.52 is: 9,389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,840.76 : 32,766 = 6,258.52 : x
  2. Step 2: Convert to fraction form
    21,840.76/32,766 = 6,258.52/x
  3. Step 3: Cross multiply
    21,840.76x = 32,766 × 6,258.52
  4. Step 4: Simplify right side
    21,840.76x = 205,066,666.32
  5. Step 5: Solve for x
    x = 205,066,666.32/21,840.76
  6. Step 6: Final answer
    x = 9,389.17

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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.