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Finding the Fourth Proportional to 25,866.84, 38,809.60 and 12,728.44

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Solution

The fourth proportional to 25,866.84, 38,809.60 and 12,728.44 is: 19,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,866.84 : 38,809.60 = 12,728.44 : x
  2. Step 2: Convert to fraction form
    25,866.84/38,809.60 = 12,728.44/x
  3. Step 3: Cross multiply
    25,866.84x = 38,809.60 × 12,728.44
  4. Step 4: Simplify right side
    25,866.84x = 493,985,681.71
  5. Step 5: Solve for x
    x = 493,985,681.71/25,866.84
  6. Step 6: Final answer
    x = 19,097.25

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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.