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Finding the Fourth Proportional to 23,574.96, 32,534.24 and 13,506.66

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Solution

The fourth proportional to 23,574.96, 32,534.24 and 13,506.66 is: 18,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574.96 : 32,534.24 = 13,506.66 : x
  2. Step 2: Convert to fraction form
    23,574.96/32,534.24 = 13,506.66/x
  3. Step 3: Cross multiply
    23,574.96x = 32,534.24 × 13,506.66
  4. Step 4: Simplify right side
    23,574.96x = 439,428,850.51
  5. Step 5: Solve for x
    x = 439,428,850.51/23,574.96
  6. Step 6: Final answer
    x = 18,639.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.