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Finding the Fourth Proportional to 24,337.96, 33,580.04 and 14,261.00

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Solution

The fourth proportional to 24,337.96, 33,580.04 and 14,261.00 is: 19,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,337.96 : 33,580.04 = 14,261.00 : x
  2. Step 2: Convert to fraction form
    24,337.96/33,580.04 = 14,261.00/x
  3. Step 3: Cross multiply
    24,337.96x = 33,580.04 × 14,261.00
  4. Step 4: Simplify right side
    24,337.96x = 478,884,711.23
  5. Step 5: Solve for x
    x = 478,884,711.23/24,337.96
  6. Step 6: Final answer
    x = 19,676.45

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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.