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Finding the Fourth Proportional to 21,384.32, 29,509.48 and 12,431.40

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Solution

The fourth proportional to 21,384.32, 29,509.48 and 12,431.40 is: 17,154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.32 : 29,509.48 = 12,431.40 : x
  2. Step 2: Convert to fraction form
    21,384.32/29,509.48 = 12,431.40/x
  3. Step 3: Cross multiply
    21,384.32x = 29,509.48 × 12,431.40
  4. Step 4: Simplify right side
    21,384.32x = 366,844,149.67
  5. Step 5: Solve for x
    x = 366,844,149.67/21,384.32
  6. Step 6: Final answer
    x = 17,154.82

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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.