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Finding the Fourth Proportional to 15,701.84, 23,533.32 and 7,371.08

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Solution

The fourth proportional to 15,701.84, 23,533.32 and 7,371.08 is: 11,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,701.84 : 23,533.32 = 7,371.08 : x
  2. Step 2: Convert to fraction form
    15,701.84/23,533.32 = 7,371.08/x
  3. Step 3: Cross multiply
    15,701.84x = 23,533.32 × 7,371.08
  4. Step 4: Simplify right side
    15,701.84x = 173,465,984.39
  5. Step 5: Solve for x
    x = 173,465,984.39/15,701.84
  6. Step 6: Final answer
    x = 11,047.49

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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.