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Finding the Fourth Proportional to 10,699.50, 15,970.88 and 9,436.98

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Solution

The fourth proportional to 10,699.50, 15,970.88 and 9,436.98 is: 14,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.50 : 15,970.88 = 9,436.98 : x
  2. Step 2: Convert to fraction form
    10,699.50/15,970.88 = 9,436.98/x
  3. Step 3: Cross multiply
    10,699.50x = 15,970.88 × 9,436.98
  4. Step 4: Simplify right side
    10,699.50x = 150,716,827.96
  5. Step 5: Solve for x
    x = 150,716,827.96/10,699.50
  6. Step 6: Final answer
    x = 14,086.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.