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Finding the Fourth Proportional to 21,823.76, 30,117.68 and 12,393.20

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Solution

The fourth proportional to 21,823.76, 30,117.68 and 12,393.20 is: 17,103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,823.76 : 30,117.68 = 12,393.20 : x
  2. Step 2: Convert to fraction form
    21,823.76/30,117.68 = 12,393.20/x
  3. Step 3: Cross multiply
    21,823.76x = 30,117.68 × 12,393.20
  4. Step 4: Simplify right side
    21,823.76x = 373,254,431.78
  5. Step 5: Solve for x
    x = 373,254,431.78/21,823.76
  6. Step 6: Final answer
    x = 17,103.12

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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.