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Finding the Fourth Proportional to 23,574.24, 35,352.10 and 8,775.06

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Solution

The fourth proportional to 23,574.24, 35,352.10 and 8,775.06 is: 13,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574.24 : 35,352.10 = 8,775.06 : x
  2. Step 2: Convert to fraction form
    23,574.24/35,352.10 = 8,775.06/x
  3. Step 3: Cross multiply
    23,574.24x = 35,352.10 × 8,775.06
  4. Step 4: Simplify right side
    23,574.24x = 310,216,798.63
  5. Step 5: Solve for x
    x = 310,216,798.63/23,574.24
  6. Step 6: Final answer
    x = 13,159.14

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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.