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Finding the Fourth Proportional to 16,205.10, 24,307.64 and 12,512.72

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Solution

The fourth proportional to 16,205.10, 24,307.64 and 12,512.72 is: 18,769.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.10 : 24,307.64 = 12,512.72 : x
  2. Step 2: Convert to fraction form
    16,205.10/24,307.64 = 12,512.72/x
  3. Step 3: Cross multiply
    16,205.10x = 24,307.64 × 12,512.72
  4. Step 4: Simplify right side
    16,205.10x = 304,154,693.18
  5. Step 5: Solve for x
    x = 304,154,693.18/16,205.10
  6. Step 6: Final answer
    x = 18,769.07

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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.