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Finding the Fourth Proportional to 25,762.32, 38,656.44 and 19,201.68

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Solution

The fourth proportional to 25,762.32, 38,656.44 and 19,201.68 is: 28,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,762.32 : 38,656.44 = 19,201.68 : x
  2. Step 2: Convert to fraction form
    25,762.32/38,656.44 = 19,201.68/x
  3. Step 3: Cross multiply
    25,762.32x = 38,656.44 × 19,201.68
  4. Step 4: Simplify right side
    25,762.32x = 742,268,590.82
  5. Step 5: Solve for x
    x = 742,268,590.82/25,762.32
  6. Step 6: Final answer
    x = 28,812.18

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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.