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Finding the Fourth Proportional to 10,509.96, 15,764.94 and 9,984.40

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Solution

The fourth proportional to 10,509.96, 15,764.94 and 9,984.40 is: 14,976.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.96 : 15,764.94 = 9,984.40 : x
  2. Step 2: Convert to fraction form
    10,509.96/15,764.94 = 9,984.40/x
  3. Step 3: Cross multiply
    10,509.96x = 15,764.94 × 9,984.40
  4. Step 4: Simplify right side
    10,509.96x = 157,403,466.94
  5. Step 5: Solve for x
    x = 157,403,466.94/10,509.96
  6. Step 6: Final answer
    x = 14,976.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.