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Finding the Fourth Proportional to 23,053.40, 34,574.64 and 10,565.64

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Solution

The fourth proportional to 23,053.40, 34,574.64 and 10,565.64 is: 15,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,053.40 : 34,574.64 = 10,565.64 : x
  2. Step 2: Convert to fraction form
    23,053.40/34,574.64 = 10,565.64/x
  3. Step 3: Cross multiply
    23,053.40x = 34,574.64 × 10,565.64
  4. Step 4: Simplify right side
    23,053.40x = 365,303,199.37
  5. Step 5: Solve for x
    x = 365,303,199.37/23,053.40
  6. Step 6: Final answer
    x = 15,845.96

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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.