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Finding the Fourth Proportional to 16,406.10, 24,624.47 and 7,526.18

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Solution

The fourth proportional to 16,406.10, 24,624.47 and 7,526.18 is: 11,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.10 : 24,624.47 = 7,526.18 : x
  2. Step 2: Convert to fraction form
    16,406.10/24,624.47 = 7,526.18/x
  3. Step 3: Cross multiply
    16,406.10x = 24,624.47 × 7,526.18
  4. Step 4: Simplify right side
    16,406.10x = 185,328,274.00
  5. Step 5: Solve for x
    x = 185,328,274.00/16,406.10
  6. Step 6: Final answer
    x = 11,296.30

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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.