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Finding the Fourth Proportional to 25,362.46, 38,045.52 and 7,830.02

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Solution

The fourth proportional to 25,362.46, 38,045.52 and 7,830.02 is: 11,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,362.46 : 38,045.52 = 7,830.02 : x
  2. Step 2: Convert to fraction form
    25,362.46/38,045.52 = 7,830.02/x
  3. Step 3: Cross multiply
    25,362.46x = 38,045.52 × 7,830.02
  4. Step 4: Simplify right side
    25,362.46x = 297,897,182.51
  5. Step 5: Solve for x
    x = 297,897,182.51/25,362.46
  6. Step 6: Final answer
    x = 11,745.59

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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.