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Finding the Fourth Proportional to 21,661.08, 29,897.28 and 13,697.16

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Solution

The fourth proportional to 21,661.08, 29,897.28 and 13,697.16 is: 18,905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,661.08 : 29,897.28 = 13,697.16 : x
  2. Step 2: Convert to fraction form
    21,661.08/29,897.28 = 13,697.16/x
  3. Step 3: Cross multiply
    21,661.08x = 29,897.28 × 13,697.16
  4. Step 4: Simplify right side
    21,661.08x = 409,507,827.72
  5. Step 5: Solve for x
    x = 409,507,827.72/21,661.08
  6. Step 6: Final answer
    x = 18,905.24

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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.