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Finding the Fourth Proportional to 29,567.29, 40,803.07 and 16,138.65

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Solution

The fourth proportional to 29,567.29, 40,803.07 and 16,138.65 is: 22,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,567.29 : 40,803.07 = 16,138.65 : x
  2. Step 2: Convert to fraction form
    29,567.29/40,803.07 = 16,138.65/x
  3. Step 3: Cross multiply
    29,567.29x = 40,803.07 × 16,138.65
  4. Step 4: Simplify right side
    29,567.29x = 658,506,425.31
  5. Step 5: Solve for x
    x = 658,506,425.31/29,567.29
  6. Step 6: Final answer
    x = 22,271.45

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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.