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Finding the Fourth Proportional to 15,647.69, 21,589.95 and 9,275.77

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Solution

The fourth proportional to 15,647.69, 21,589.95 and 9,275.77 is: 12,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,647.69 : 21,589.95 = 9,275.77 : x
  2. Step 2: Convert to fraction form
    15,647.69/21,589.95 = 9,275.77/x
  3. Step 3: Cross multiply
    15,647.69x = 21,589.95 × 9,275.77
  4. Step 4: Simplify right side
    15,647.69x = 200,263,410.51
  5. Step 5: Solve for x
    x = 200,263,410.51/15,647.69
  6. Step 6: Final answer
    x = 12,798.27

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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.