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Finding the Fourth Proportional to 25,696.10, 38,547.12 and 9,897.46

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Solution

The fourth proportional to 25,696.10, 38,547.12 and 9,897.46 is: 14,847.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,696.10 : 38,547.12 = 9,897.46 : x
  2. Step 2: Convert to fraction form
    25,696.10/38,547.12 = 9,897.46/x
  3. Step 3: Cross multiply
    25,696.10x = 38,547.12 × 9,897.46
  4. Step 4: Simplify right side
    25,696.10x = 381,518,578.32
  5. Step 5: Solve for x
    x = 381,518,578.32/25,696.10
  6. Step 6: Final answer
    x = 14,847.33

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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.