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Finding the Fourth Proportional to 29,567.40, 40,803.53 and 16,138.77

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Solution

The fourth proportional to 29,567.40, 40,803.53 and 16,138.77 is: 22,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,567.40 : 40,803.53 = 16,138.77 : x
  2. Step 2: Convert to fraction form
    29,567.40/40,803.53 = 16,138.77/x
  3. Step 3: Cross multiply
    29,567.40x = 40,803.53 × 16,138.77
  4. Step 4: Simplify right side
    29,567.40x = 658,518,705.16
  5. Step 5: Solve for x
    x = 658,518,705.16/29,567.40
  6. Step 6: Final answer
    x = 22,271.78

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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.