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Finding the Fourth Proportional to 15,875.80, 23,814.18 and 4,782.57

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Solution

The fourth proportional to 15,875.80, 23,814.18 and 4,782.57 is: 7,174.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,875.80 : 23,814.18 = 4,782.57 : x
  2. Step 2: Convert to fraction form
    15,875.80/23,814.18 = 4,782.57/x
  3. Step 3: Cross multiply
    15,875.80x = 23,814.18 × 4,782.57
  4. Step 4: Simplify right side
    15,875.80x = 113,892,982.84
  5. Step 5: Solve for x
    x = 113,892,982.84/15,875.80
  6. Step 6: Final answer
    x = 7,174.00

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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.