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Finding the Fourth Proportional to 24,894.36, 34,353.59 and 13,564.15

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Solution

The fourth proportional to 24,894.36, 34,353.59 and 13,564.15 is: 18,718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,894.36 : 34,353.59 = 13,564.15 : x
  2. Step 2: Convert to fraction form
    24,894.36/34,353.59 = 13,564.15/x
  3. Step 3: Cross multiply
    24,894.36x = 34,353.59 × 13,564.15
  4. Step 4: Simplify right side
    24,894.36x = 465,977,094.09
  5. Step 5: Solve for x
    x = 465,977,094.09/24,894.36
  6. Step 6: Final answer
    x = 18,718.18

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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.