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Finding the Fourth Proportional to 25,780.32, 38,670.48 and 7,312.32

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Solution

The fourth proportional to 25,780.32, 38,670.48 and 7,312.32 is: 10,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,780.32 : 38,670.48 = 7,312.32 : x
  2. Step 2: Convert to fraction form
    25,780.32/38,670.48 = 7,312.32/x
  3. Step 3: Cross multiply
    25,780.32x = 38,670.48 × 7,312.32
  4. Step 4: Simplify right side
    25,780.32x = 282,770,924.31
  5. Step 5: Solve for x
    x = 282,770,924.31/25,780.32
  6. Step 6: Final answer
    x = 10,968.48

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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.