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Finding the Fourth Proportional to 24,543.40, 33,871.26 and 14,477.76

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Solution

The fourth proportional to 24,543.40, 33,871.26 and 14,477.76 is: 19,980.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,543.40 : 33,871.26 = 14,477.76 : x
  2. Step 2: Convert to fraction form
    24,543.40/33,871.26 = 14,477.76/x
  3. Step 3: Cross multiply
    24,543.40x = 33,871.26 × 14,477.76
  4. Step 4: Simplify right side
    24,543.40x = 490,379,973.18
  5. Step 5: Solve for x
    x = 490,379,973.18/24,543.40
  6. Step 6: Final answer
    x = 19,980.12

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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.