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Finding the Fourth Proportional to 29,897.72, 41,258.66 and 16,468.66

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Solution

The fourth proportional to 29,897.72, 41,258.66 and 16,468.66 is: 22,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,897.72 : 41,258.66 = 16,468.66 : x
  2. Step 2: Convert to fraction form
    29,897.72/41,258.66 = 16,468.66/x
  3. Step 3: Cross multiply
    29,897.72x = 41,258.66 × 16,468.66
  4. Step 4: Simplify right side
    29,897.72x = 679,474,658.11
  5. Step 5: Solve for x
    x = 679,474,658.11/29,897.72
  6. Step 6: Final answer
    x = 22,726.64

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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.