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Finding the Fourth Proportional to 15,130.32, 20,878.86 and 8,415.84

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Solution

The fourth proportional to 15,130.32, 20,878.86 and 8,415.84 is: 11,613.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,130.32 : 20,878.86 = 8,415.84 : x
  2. Step 2: Convert to fraction form
    15,130.32/20,878.86 = 8,415.84/x
  3. Step 3: Cross multiply
    15,130.32x = 20,878.86 × 8,415.84
  4. Step 4: Simplify right side
    15,130.32x = 175,713,145.14
  5. Step 5: Solve for x
    x = 175,713,145.14/15,130.32
  6. Step 6: Final answer
    x = 11,613.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.