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Finding the Fourth Proportional to 24,017.72, 33,130.66 and 14,451

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Solution

The fourth proportional to 24,017.72, 33,130.66 and 14,451 is: 19,934.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,017.72 : 33,130.66 = 14,451 : x
  2. Step 2: Convert to fraction form
    24,017.72/33,130.66 = 14,451/x
  3. Step 3: Cross multiply
    24,017.72x = 33,130.66 × 14,451
  4. Step 4: Simplify right side
    24,017.72x = 478,771,167.66
  5. Step 5: Solve for x
    x = 478,771,167.66/24,017.72
  6. Step 6: Final answer
    x = 19,934.08

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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.