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Finding the Fourth Proportional to 23,574.81, 32,533.73 and 12,965.02

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Solution

The fourth proportional to 23,574.81, 32,533.73 and 12,965.02 is: 17,892.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574.81 : 32,533.73 = 12,965.02 : x
  2. Step 2: Convert to fraction form
    23,574.81/32,533.73 = 12,965.02/x
  3. Step 3: Cross multiply
    23,574.81x = 32,533.73 × 12,965.02
  4. Step 4: Simplify right side
    23,574.81x = 421,800,460.12
  5. Step 5: Solve for x
    x = 421,800,460.12/23,574.81
  6. Step 6: Final answer
    x = 17,892.00

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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.