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Finding the Fourth Proportional to 25,762.28, 35,567.76 and 19,782.32

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Solution

The fourth proportional to 25,762.28, 35,567.76 and 19,782.32 is: 27,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,762.28 : 35,567.76 = 19,782.32 : x
  2. Step 2: Convert to fraction form
    25,762.28/35,567.76 = 19,782.32/x
  3. Step 3: Cross multiply
    25,762.28x = 35,567.76 × 19,782.32
  4. Step 4: Simplify right side
    25,762.28x = 703,612,810.00
  5. Step 5: Solve for x
    x = 703,612,810.00/25,762.28
  6. Step 6: Final answer
    x = 27,311.74

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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.