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Finding the Fourth Proportional to 21,464.42, 29,608.00 and 15,509.30

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Solution

The fourth proportional to 21,464.42, 29,608.00 and 15,509.30 is: 21,393.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,464.42 : 29,608.00 = 15,509.30 : x
  2. Step 2: Convert to fraction form
    21,464.42/29,608.00 = 15,509.30/x
  3. Step 3: Cross multiply
    21,464.42x = 29,608.00 × 15,509.30
  4. Step 4: Simplify right side
    21,464.42x = 459,199,167.59
  5. Step 5: Solve for x
    x = 459,199,167.59/21,464.42
  6. Step 6: Final answer
    x = 21,393.51

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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.