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Finding the Fourth Proportional to 25,858.74, 38,788.95 and 7,140.18

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Solution

The fourth proportional to 25,858.74, 38,788.95 and 7,140.18 is: 10,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,858.74 : 38,788.95 = 7,140.18 : x
  2. Step 2: Convert to fraction form
    25,858.74/38,788.95 = 7,140.18/x
  3. Step 3: Cross multiply
    25,858.74x = 38,788.95 × 7,140.18
  4. Step 4: Simplify right side
    25,858.74x = 276,960,085.01
  5. Step 5: Solve for x
    x = 276,960,085.01/25,858.74
  6. Step 6: Final answer
    x = 10,710.50

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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.