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Finding the Fourth Proportional to 29,184, 40,284.16 and 17,408

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Solution

The fourth proportional to 29,184, 40,284.16 and 17,408 is: 24,029.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,184 : 40,284.16 = 17,408 : x
  2. Step 2: Convert to fraction form
    29,184/40,284.16 = 17,408/x
  3. Step 3: Cross multiply
    29,184x = 40,284.16 × 17,408
  4. Step 4: Simplify right side
    29,184x = 701,266,657.28
  5. Step 5: Solve for x
    x = 701,266,657.28/29,184
  6. Step 6: Final answer
    x = 24,029.15

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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.