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Finding the Fourth Proportional to 25,980.32, 38,970.50 and 6,258.87

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Solution

The fourth proportional to 25,980.32, 38,970.50 and 6,258.87 is: 9,388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,980.32 : 38,970.50 = 6,258.87 : x
  2. Step 2: Convert to fraction form
    25,980.32/38,970.50 = 6,258.87/x
  3. Step 3: Cross multiply
    25,980.32x = 38,970.50 × 6,258.87
  4. Step 4: Simplify right side
    25,980.32x = 243,911,262.04
  5. Step 5: Solve for x
    x = 243,911,262.04/25,980.32
  6. Step 6: Final answer
    x = 9,388.31

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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.