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Finding the Fourth Proportional to 15,830.94, 23,690.78 and 12,509.44

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Solution

The fourth proportional to 15,830.94, 23,690.78 and 12,509.44 is: 18,720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.94 : 23,690.78 = 12,509.44 : x
  2. Step 2: Convert to fraction form
    15,830.94/23,690.78 = 12,509.44/x
  3. Step 3: Cross multiply
    15,830.94x = 23,690.78 × 12,509.44
  4. Step 4: Simplify right side
    15,830.94x = 296,358,316.10
  5. Step 5: Solve for x
    x = 296,358,316.10/15,830.94
  6. Step 6: Final answer
    x = 18,720.19

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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.