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Finding the Fourth Proportional to 10,495.15, 15,756.09 and 9,023.79

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Solution

The fourth proportional to 10,495.15, 15,756.09 and 9,023.79 is: 13,547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.15 : 15,756.09 = 9,023.79 : x
  2. Step 2: Convert to fraction form
    10,495.15/15,756.09 = 9,023.79/x
  3. Step 3: Cross multiply
    10,495.15x = 15,756.09 × 9,023.79
  4. Step 4: Simplify right side
    10,495.15x = 142,179,647.38
  5. Step 5: Solve for x
    x = 142,179,647.38/10,495.15
  6. Step 6: Final answer
    x = 13,547.18

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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.