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Finding the Fourth Proportional to 25,312.64, 37,967.88 and 7,781.72

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Solution

The fourth proportional to 25,312.64, 37,967.88 and 7,781.72 is: 11,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,312.64 : 37,967.88 = 7,781.72 : x
  2. Step 2: Convert to fraction form
    25,312.64/37,967.88 = 7,781.72/x
  3. Step 3: Cross multiply
    25,312.64x = 37,967.88 × 7,781.72
  4. Step 4: Simplify right side
    25,312.64x = 295,455,411.15
  5. Step 5: Solve for x
    x = 295,455,411.15/25,312.64
  6. Step 6: Final answer
    x = 11,672.25

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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.