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Finding the Fourth Proportional to 16,225.82, 24,330.02 and 8,325.08

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Solution

The fourth proportional to 16,225.82, 24,330.02 and 8,325.08 is: 12,483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225.82 : 24,330.02 = 8,325.08 : x
  2. Step 2: Convert to fraction form
    16,225.82/24,330.02 = 8,325.08/x
  3. Step 3: Cross multiply
    16,225.82x = 24,330.02 × 8,325.08
  4. Step 4: Simplify right side
    16,225.82x = 202,549,199.63
  5. Step 5: Solve for x
    x = 202,549,199.63/16,225.82
  6. Step 6: Final answer
    x = 12,483.14

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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.