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Finding the Fourth Proportional to 15,830.81, 23,749.61 and 4,738.40

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Solution

The fourth proportional to 15,830.81, 23,749.61 and 4,738.40 is: 7,108.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.81 : 23,749.61 = 4,738.40 : x
  2. Step 2: Convert to fraction form
    15,830.81/23,749.61 = 4,738.40/x
  3. Step 3: Cross multiply
    15,830.81x = 23,749.61 × 4,738.40
  4. Step 4: Simplify right side
    15,830.81x = 112,535,009.58
  5. Step 5: Solve for x
    x = 112,535,009.58/15,830.81
  6. Step 6: Final answer
    x = 7,108.61

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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.