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Finding the Fourth Proportional to 15,509.40, 21,402.70 and 8,435.78

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Solution

The fourth proportional to 15,509.40, 21,402.70 and 8,435.78 is: 11,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.40 : 21,402.70 = 8,435.78 : x
  2. Step 2: Convert to fraction form
    15,509.40/21,402.70 = 8,435.78/x
  3. Step 3: Cross multiply
    15,509.40x = 21,402.70 × 8,435.78
  4. Step 4: Simplify right side
    15,509.40x = 180,548,501.02
  5. Step 5: Solve for x
    x = 180,548,501.02/15,509.40
  6. Step 6: Final answer
    x = 11,641.23

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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.