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Finding the Fourth Proportional to 15,832.34, 23,751.57 and 4,738.07

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Solution

The fourth proportional to 15,832.34, 23,751.57 and 4,738.07 is: 7,108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.34 : 23,751.57 = 4,738.07 : x
  2. Step 2: Convert to fraction form
    15,832.34/23,751.57 = 4,738.07/x
  3. Step 3: Cross multiply
    15,832.34x = 23,751.57 × 4,738.07
  4. Step 4: Simplify right side
    15,832.34x = 112,536,482.51
  5. Step 5: Solve for x
    x = 112,536,482.51/15,832.34
  6. Step 6: Final answer
    x = 7,108.02

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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.