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Finding the Fourth Proportional to 23,210.14, 32,030.02 and 12,599.78

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Solution

The fourth proportional to 23,210.14, 32,030.02 and 12,599.78 is: 17,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,210.14 : 32,030.02 = 12,599.78 : x
  2. Step 2: Convert to fraction form
    23,210.14/32,030.02 = 12,599.78/x
  3. Step 3: Cross multiply
    23,210.14x = 32,030.02 × 12,599.78
  4. Step 4: Simplify right side
    23,210.14x = 403,571,205.40
  5. Step 5: Solve for x
    x = 403,571,205.40/23,210.14
  6. Step 6: Final answer
    x = 17,387.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.