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Finding the Fourth Proportional to 16,717.74, 23,070.34 and 9,164.50

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Solution

The fourth proportional to 16,717.74, 23,070.34 and 9,164.50 is: 12,646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,717.74 : 23,070.34 = 9,164.50 : x
  2. Step 2: Convert to fraction form
    16,717.74/23,070.34 = 9,164.50/x
  3. Step 3: Cross multiply
    16,717.74x = 23,070.34 × 9,164.50
  4. Step 4: Simplify right side
    16,717.74x = 211,428,130.93
  5. Step 5: Solve for x
    x = 211,428,130.93/16,717.74
  6. Step 6: Final answer
    x = 12,646.93

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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.