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Finding the Fourth Proportional to 24,415.61, 33,693.70 and 14,212.72

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Solution

The fourth proportional to 24,415.61, 33,693.70 and 14,212.72 is: 19,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,415.61 : 33,693.70 = 14,212.72 : x
  2. Step 2: Convert to fraction form
    24,415.61/33,693.70 = 14,212.72/x
  3. Step 3: Cross multiply
    24,415.61x = 33,693.70 × 14,212.72
  4. Step 4: Simplify right side
    24,415.61x = 478,879,004.10
  5. Step 5: Solve for x
    x = 478,879,004.10/24,415.61
  6. Step 6: Final answer
    x = 19,613.64

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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.