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Finding the Fourth Proportional to 24,973.34, 34,463.46 and 13,643.19

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Solution

The fourth proportional to 24,973.34, 34,463.46 and 13,643.19 is: 18,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,973.34 : 34,463.46 = 13,643.19 : x
  2. Step 2: Convert to fraction form
    24,973.34/34,463.46 = 13,643.19/x
  3. Step 3: Cross multiply
    24,973.34x = 34,463.46 × 13,643.19
  4. Step 4: Simplify right side
    24,973.34x = 470,191,532.84
  5. Step 5: Solve for x
    x = 470,191,532.84/24,973.34
  6. Step 6: Final answer
    x = 18,827.74

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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.