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Finding the Fourth Proportional to 21,197.08, 31,798.50 and 7,347.16

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Solution

The fourth proportional to 21,197.08, 31,798.50 and 7,347.16 is: 11,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197.08 : 31,798.50 = 7,347.16 : x
  2. Step 2: Convert to fraction form
    21,197.08/31,798.50 = 7,347.16/x
  3. Step 3: Cross multiply
    21,197.08x = 31,798.50 × 7,347.16
  4. Step 4: Simplify right side
    21,197.08x = 233,628,667.26
  5. Step 5: Solve for x
    x = 233,628,667.26/21,197.08
  6. Step 6: Final answer
    x = 11,021.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.