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Finding the Fourth Proportional to 24,292.25, 36,410.74 and 14,783.59

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Solution

The fourth proportional to 24,292.25, 36,410.74 and 14,783.59 is: 22,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,292.25 : 36,410.74 = 14,783.59 : x
  2. Step 2: Convert to fraction form
    24,292.25/36,410.74 = 14,783.59/x
  3. Step 3: Cross multiply
    24,292.25x = 36,410.74 × 14,783.59
  4. Step 4: Simplify right side
    24,292.25x = 538,281,629.90
  5. Step 5: Solve for x
    x = 538,281,629.90/24,292.25
  6. Step 6: Final answer
    x = 22,158.57

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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.