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Finding the Fourth Proportional to 14,206.16, 19,581 and 9,488.72

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Solution

The fourth proportional to 14,206.16, 19,581 and 9,488.72 is: 13,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.16 : 19,581 = 9,488.72 : x
  2. Step 2: Convert to fraction form
    14,206.16/19,581 = 9,488.72/x
  3. Step 3: Cross multiply
    14,206.16x = 19,581 × 9,488.72
  4. Step 4: Simplify right side
    14,206.16x = 185,798,626.32
  5. Step 5: Solve for x
    x = 185,798,626.32/14,206.16
  6. Step 6: Final answer
    x = 13,078.74

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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.