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Finding the Fourth Proportional to 21,506.41, 32,258.48 and 6,713.63

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Solution

The fourth proportional to 21,506.41, 32,258.48 and 6,713.63 is: 10,070.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,506.41 : 32,258.48 = 6,713.63 : x
  2. Step 2: Convert to fraction form
    21,506.41/32,258.48 = 6,713.63/x
  3. Step 3: Cross multiply
    21,506.41x = 32,258.48 × 6,713.63
  4. Step 4: Simplify right side
    21,506.41x = 216,571,625.53
  5. Step 5: Solve for x
    x = 216,571,625.53/21,506.41
  6. Step 6: Final answer
    x = 10,070.10

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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.