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Finding the Fourth Proportional to 29,324, 40,467.12 and 16,076

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Solution

The fourth proportional to 29,324, 40,467.12 and 16,076 is: 22,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,324 : 40,467.12 = 16,076 : x
  2. Step 2: Convert to fraction form
    29,324/40,467.12 = 16,076/x
  3. Step 3: Cross multiply
    29,324x = 40,467.12 × 16,076
  4. Step 4: Simplify right side
    29,324x = 650,549,421.12
  5. Step 5: Solve for x
    x = 650,549,421.12/29,324
  6. Step 6: Final answer
    x = 22,184.88

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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.