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Finding the Fourth Proportional to 15,493.64, 21,381.40 and 8,420.16

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Solution

The fourth proportional to 15,493.64, 21,381.40 and 8,420.16 is: 11,619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,493.64 : 21,381.40 = 8,420.16 : x
  2. Step 2: Convert to fraction form
    15,493.64/21,381.40 = 8,420.16/x
  3. Step 3: Cross multiply
    15,493.64x = 21,381.40 × 8,420.16
  4. Step 4: Simplify right side
    15,493.64x = 180,034,809.02
  5. Step 5: Solve for x
    x = 180,034,809.02/15,493.64
  6. Step 6: Final answer
    x = 11,619.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.