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Finding the Fourth Proportional to 14,522.65, 20,035.29 and 9,485.13

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Solution

The fourth proportional to 14,522.65, 20,035.29 and 9,485.13 is: 13,085.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,522.65 : 20,035.29 = 9,485.13 : x
  2. Step 2: Convert to fraction form
    14,522.65/20,035.29 = 9,485.13/x
  3. Step 3: Cross multiply
    14,522.65x = 20,035.29 × 9,485.13
  4. Step 4: Simplify right side
    14,522.65x = 190,037,330.24
  5. Step 5: Solve for x
    x = 190,037,330.24/14,522.65
  6. Step 6: Final answer
    x = 13,085.58

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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.