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Finding the Fourth Proportional to 14,124.64, 19,491.20 and 8,158.16

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Solution

The fourth proportional to 14,124.64, 19,491.20 and 8,158.16 is: 11,257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124.64 : 19,491.20 = 8,158.16 : x
  2. Step 2: Convert to fraction form
    14,124.64/19,491.20 = 8,158.16/x
  3. Step 3: Cross multiply
    14,124.64x = 19,491.20 × 8,158.16
  4. Step 4: Simplify right side
    14,124.64x = 159,012,328.19
  5. Step 5: Solve for x
    x = 159,012,328.19/14,124.64
  6. Step 6: Final answer
    x = 11,257.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.