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Finding the Fourth Proportional to 15,810.16, 23,722.12 and 7,496

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Solution

The fourth proportional to 15,810.16, 23,722.12 and 7,496 is: 11,247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,810.16 : 23,722.12 = 7,496 : x
  2. Step 2: Convert to fraction form
    15,810.16/23,722.12 = 7,496/x
  3. Step 3: Cross multiply
    15,810.16x = 23,722.12 × 7,496
  4. Step 4: Simplify right side
    15,810.16x = 177,821,011.52
  5. Step 5: Solve for x
    x = 177,821,011.52/15,810.16
  6. Step 6: Final answer
    x = 11,247.26

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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.