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Finding the Fourth Proportional to 21,602.13, 29,810.93 and 11,666.13

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Solution

The fourth proportional to 21,602.13, 29,810.93 and 11,666.13 is: 16,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602.13 : 29,810.93 = 11,666.13 : x
  2. Step 2: Convert to fraction form
    21,602.13/29,810.93 = 11,666.13/x
  3. Step 3: Cross multiply
    21,602.13x = 29,810.93 × 11,666.13
  4. Step 4: Simplify right side
    21,602.13x = 347,778,184.80
  5. Step 5: Solve for x
    x = 347,778,184.80/21,602.13
  6. Step 6: Final answer
    x = 16,099.25

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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.