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Finding the Fourth Proportional to 16,436.68, 24,652.59 and 6,046

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Solution

The fourth proportional to 16,436.68, 24,652.59 and 6,046 is: 9,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,436.68 : 24,652.59 = 6,046 : x
  2. Step 2: Convert to fraction form
    16,436.68/24,652.59 = 6,046/x
  3. Step 3: Cross multiply
    16,436.68x = 24,652.59 × 6,046
  4. Step 4: Simplify right side
    16,436.68x = 149,049,559.14
  5. Step 5: Solve for x
    x = 149,049,559.14/16,436.68
  6. Step 6: Final answer
    x = 9,068.11

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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.