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Finding the Fourth Proportional to 14,142.06, 19,499.94 and 9,030.69

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Solution

The fourth proportional to 14,142.06, 19,499.94 and 9,030.69 is: 12,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.06 : 19,499.94 = 9,030.69 : x
  2. Step 2: Convert to fraction form
    14,142.06/19,499.94 = 9,030.69/x
  3. Step 3: Cross multiply
    14,142.06x = 19,499.94 × 9,030.69
  4. Step 4: Simplify right side
    14,142.06x = 176,097,913.16
  5. Step 5: Solve for x
    x = 176,097,913.16/14,142.06
  6. Step 6: Final answer
    x = 12,452.07

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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.