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Finding the Fourth Proportional to 10,605.66, 15,801.92 and 10,009.50

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Solution

The fourth proportional to 10,605.66, 15,801.92 and 10,009.50 is: 14,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.66 : 15,801.92 = 10,009.50 : x
  2. Step 2: Convert to fraction form
    10,605.66/15,801.92 = 10,009.50/x
  3. Step 3: Cross multiply
    10,605.66x = 15,801.92 × 10,009.50
  4. Step 4: Simplify right side
    10,605.66x = 158,169,268.19
  5. Step 5: Solve for x
    x = 158,169,268.19/10,605.66
  6. Step 6: Final answer
    x = 14,913.67

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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.