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Finding the Fourth Proportional to 16,408.89, 24,485.27 and 14,641.74

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Solution

The fourth proportional to 16,408.89, 24,485.27 and 14,641.74 is: 21,848.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.89 : 24,485.27 = 14,641.74 : x
  2. Step 2: Convert to fraction form
    16,408.89/24,485.27 = 14,641.74/x
  3. Step 3: Cross multiply
    16,408.89x = 24,485.27 × 14,641.74
  4. Step 4: Simplify right side
    16,408.89x = 358,506,883.96
  5. Step 5: Solve for x
    x = 358,506,883.96/16,408.89
  6. Step 6: Final answer
    x = 21,848.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.