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Finding the Fourth Proportional to 17,846.16, 24,625.71 and 9,886.40

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Solution

The fourth proportional to 17,846.16, 24,625.71 and 9,886.40 is: 13,642.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846.16 : 24,625.71 = 9,886.40 : x
  2. Step 2: Convert to fraction form
    17,846.16/24,625.71 = 9,886.40/x
  3. Step 3: Cross multiply
    17,846.16x = 24,625.71 × 9,886.40
  4. Step 4: Simplify right side
    17,846.16x = 243,459,619.34
  5. Step 5: Solve for x
    x = 243,459,619.34/17,846.16
  6. Step 6: Final answer
    x = 13,642.13

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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.