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Finding the Fourth Proportional to 15,830.64, 23,748.12 and 8,434.80

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Solution

The fourth proportional to 15,830.64, 23,748.12 and 8,434.80 is: 12,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.64 : 23,748.12 = 8,434.80 : x
  2. Step 2: Convert to fraction form
    15,830.64/23,748.12 = 8,434.80/x
  3. Step 3: Cross multiply
    15,830.64x = 23,748.12 × 8,434.80
  4. Step 4: Simplify right side
    15,830.64x = 200,310,642.58
  5. Step 5: Solve for x
    x = 200,310,642.58/15,830.64
  6. Step 6: Final answer
    x = 12,653.35

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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.