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Finding the Fourth Proportional to 29,567.84, 40,803.35 and 16,138.98

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Solution

The fourth proportional to 29,567.84, 40,803.35 and 16,138.98 is: 22,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,567.84 : 40,803.35 = 16,138.98 : x
  2. Step 2: Convert to fraction form
    29,567.84/40,803.35 = 16,138.98/x
  3. Step 3: Cross multiply
    29,567.84x = 40,803.35 × 16,138.98
  4. Step 4: Simplify right side
    29,567.84x = 658,524,368.89
  5. Step 5: Solve for x
    x = 658,524,368.89/29,567.84
  6. Step 6: Final answer
    x = 22,271.65

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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.