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Finding the Fourth Proportional to 29,275.32, 40,395.59 and 17,784.25

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Solution

The fourth proportional to 29,275.32, 40,395.59 and 17,784.25 is: 24,539.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,275.32 : 40,395.59 = 17,784.25 : x
  2. Step 2: Convert to fraction form
    29,275.32/40,395.59 = 17,784.25/x
  3. Step 3: Cross multiply
    29,275.32x = 40,395.59 × 17,784.25
  4. Step 4: Simplify right side
    29,275.32x = 718,405,416.91
  5. Step 5: Solve for x
    x = 718,405,416.91/29,275.32
  6. Step 6: Final answer
    x = 24,539.63

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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.