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Finding the Fourth Proportional to 16,784.80, 23,164.23 and 10,070.26

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Solution

The fourth proportional to 16,784.80, 23,164.23 and 10,070.26 is: 13,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,784.80 : 23,164.23 = 10,070.26 : x
  2. Step 2: Convert to fraction form
    16,784.80/23,164.23 = 10,070.26/x
  3. Step 3: Cross multiply
    16,784.80x = 23,164.23 × 10,070.26
  4. Step 4: Simplify right side
    16,784.80x = 233,269,818.80
  5. Step 5: Solve for x
    x = 233,269,818.80/16,784.80
  6. Step 6: Final answer
    x = 13,897.68

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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.