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Finding the Fourth Proportional to 17,418.94, 24,038.57 and 9,461.16

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Solution

The fourth proportional to 17,418.94, 24,038.57 and 9,461.16 is: 13,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,418.94 : 24,038.57 = 9,461.16 : x
  2. Step 2: Convert to fraction form
    17,418.94/24,038.57 = 9,461.16/x
  3. Step 3: Cross multiply
    17,418.94x = 24,038.57 × 9,461.16
  4. Step 4: Simplify right side
    17,418.94x = 227,432,780.59
  5. Step 5: Solve for x
    x = 227,432,780.59/17,418.94
  6. Step 6: Final answer
    x = 13,056.64

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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.