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Finding the Fourth Proportional to 14,903.80, 22,370.10 and 9,071.80

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Solution

The fourth proportional to 14,903.80, 22,370.10 and 9,071.80 is: 13,616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,903.80 : 22,370.10 = 9,071.80 : x
  2. Step 2: Convert to fraction form
    14,903.80/22,370.10 = 9,071.80/x
  3. Step 3: Cross multiply
    14,903.80x = 22,370.10 × 9,071.80
  4. Step 4: Simplify right side
    14,903.80x = 202,937,073.18
  5. Step 5: Solve for x
    x = 202,937,073.18/14,903.80
  6. Step 6: Final answer
    x = 13,616.47

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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.