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Finding the Fourth Proportional to 15,509.34, 21,403.00 and 8,435.82

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Solution

The fourth proportional to 15,509.34, 21,403.00 and 8,435.82 is: 11,641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.34 : 21,403.00 = 8,435.82 : x
  2. Step 2: Convert to fraction form
    15,509.34/21,403.00 = 8,435.82/x
  3. Step 3: Cross multiply
    15,509.34x = 21,403.00 × 8,435.82
  4. Step 4: Simplify right side
    15,509.34x = 180,551,754.11
  5. Step 5: Solve for x
    x = 180,551,754.11/15,509.34
  6. Step 6: Final answer
    x = 11,641.48

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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.