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Finding the Fourth Proportional to 14,113.80, 19,486.22 and 9,635.91

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Solution

The fourth proportional to 14,113.80, 19,486.22 and 9,635.91 is: 13,303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.80 : 19,486.22 = 9,635.91 : x
  2. Step 2: Convert to fraction form
    14,113.80/19,486.22 = 9,635.91/x
  3. Step 3: Cross multiply
    14,113.80x = 19,486.22 × 9,635.91
  4. Step 4: Simplify right side
    14,113.80x = 187,767,462.16
  5. Step 5: Solve for x
    x = 187,767,462.16/14,113.80
  6. Step 6: Final answer
    x = 13,303.82

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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.