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Finding the Fourth Proportional to 24,051.60, 36,077.40 and 16,178.40

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Solution

The fourth proportional to 24,051.60, 36,077.40 and 16,178.40 is: 24,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,051.60 : 36,077.40 = 16,178.40 : x
  2. Step 2: Convert to fraction form
    24,051.60/36,077.40 = 16,178.40/x
  3. Step 3: Cross multiply
    24,051.60x = 36,077.40 × 16,178.40
  4. Step 4: Simplify right side
    24,051.60x = 583,674,608.16
  5. Step 5: Solve for x
    x = 583,674,608.16/24,051.60
  6. Step 6: Final answer
    x = 24,267.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.