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Finding the Fourth Proportional to 15,784.40, 23,671.44 and 5,251.59

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Solution

The fourth proportional to 15,784.40, 23,671.44 and 5,251.59 is: 7,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.40 : 23,671.44 = 5,251.59 : x
  2. Step 2: Convert to fraction form
    15,784.40/23,671.44 = 5,251.59/x
  3. Step 3: Cross multiply
    15,784.40x = 23,671.44 × 5,251.59
  4. Step 4: Simplify right side
    15,784.40x = 124,312,697.59
  5. Step 5: Solve for x
    x = 124,312,697.59/15,784.40
  6. Step 6: Final answer
    x = 7,875.67

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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.