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Finding the Fourth Proportional to 16,073.58, 22,181.74 and 9,700.50

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Solution

The fourth proportional to 16,073.58, 22,181.74 and 9,700.50 is: 13,386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,073.58 : 22,181.74 = 9,700.50 : x
  2. Step 2: Convert to fraction form
    16,073.58/22,181.74 = 9,700.50/x
  3. Step 3: Cross multiply
    16,073.58x = 22,181.74 × 9,700.50
  4. Step 4: Simplify right side
    16,073.58x = 215,173,968.87
  5. Step 5: Solve for x
    x = 215,173,968.87/16,073.58
  6. Step 6: Final answer
    x = 13,386.81

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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.