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Finding the Fourth Proportional to 14,334.71, 19,782.90 and 9,030.69

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Solution

The fourth proportional to 14,334.71, 19,782.90 and 9,030.69 is: 12,462.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,334.71 : 19,782.90 = 9,030.69 : x
  2. Step 2: Convert to fraction form
    14,334.71/19,782.90 = 9,030.69/x
  3. Step 3: Cross multiply
    14,334.71x = 19,782.90 × 9,030.69
  4. Step 4: Simplify right side
    14,334.71x = 178,653,237.20
  5. Step 5: Solve for x
    x = 178,653,237.20/14,334.71
  6. Step 6: Final answer
    x = 12,462.99

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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.