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Finding the Fourth Proportional to 24,973.29, 34,463.26 and 13,642.95

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Solution

The fourth proportional to 24,973.29, 34,463.26 and 13,642.95 is: 18,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,973.29 : 34,463.26 = 13,642.95 : x
  2. Step 2: Convert to fraction form
    24,973.29/34,463.26 = 13,642.95/x
  3. Step 3: Cross multiply
    24,973.29x = 34,463.26 × 13,642.95
  4. Step 4: Simplify right side
    24,973.29x = 470,180,533.02
  5. Step 5: Solve for x
    x = 470,180,533.02/24,973.29
  6. Step 6: Final answer
    x = 18,827.34

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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.