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Finding the Fourth Proportional to 16,074.61, 24,093.28 and 9,506.32

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Solution

The fourth proportional to 16,074.61, 24,093.28 and 9,506.32 is: 14,248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.61 : 24,093.28 = 9,506.32 : x
  2. Step 2: Convert to fraction form
    16,074.61/24,093.28 = 9,506.32/x
  3. Step 3: Cross multiply
    16,074.61x = 24,093.28 × 9,506.32
  4. Step 4: Simplify right side
    16,074.61x = 229,038,429.53
  5. Step 5: Solve for x
    x = 229,038,429.53/16,074.61
  6. Step 6: Final answer
    x = 14,248.46

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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.