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Finding the Fourth Proportional to 15,653.93, 23,497.29 and 8,256.40

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Solution

The fourth proportional to 15,653.93, 23,497.29 and 8,256.40 is: 12,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,653.93 : 23,497.29 = 8,256.40 : x
  2. Step 2: Convert to fraction form
    15,653.93/23,497.29 = 8,256.40/x
  3. Step 3: Cross multiply
    15,653.93x = 23,497.29 × 8,256.40
  4. Step 4: Simplify right side
    15,653.93x = 194,002,966.41
  5. Step 5: Solve for x
    x = 194,002,966.41/15,653.93
  6. Step 6: Final answer
    x = 12,393.25

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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.