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Finding the Fourth Proportional to 23,774.95, 35,657.25 and 7,130.51

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Solution

The fourth proportional to 23,774.95, 35,657.25 and 7,130.51 is: 10,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.95 : 35,657.25 = 7,130.51 : x
  2. Step 2: Convert to fraction form
    23,774.95/35,657.25 = 7,130.51/x
  3. Step 3: Cross multiply
    23,774.95x = 35,657.25 × 7,130.51
  4. Step 4: Simplify right side
    23,774.95x = 254,254,306.38
  5. Step 5: Solve for x
    x = 254,254,306.38/23,774.95
  6. Step 6: Final answer
    x = 10,694.21

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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.