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Finding the Fourth Proportional to 25,886.63, 38,830.04 and 7,875.03

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Solution

The fourth proportional to 25,886.63, 38,830.04 and 7,875.03 is: 11,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,886.63 : 38,830.04 = 7,875.03 : x
  2. Step 2: Convert to fraction form
    25,886.63/38,830.04 = 7,875.03/x
  3. Step 3: Cross multiply
    25,886.63x = 38,830.04 × 7,875.03
  4. Step 4: Simplify right side
    25,886.63x = 305,787,778.61
  5. Step 5: Solve for x
    x = 305,787,778.61/25,886.63
  6. Step 6: Final answer
    x = 11,812.58

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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.