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Finding the Fourth Proportional to 14,403.34, 19,880.31 and 9,380.08

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Solution

The fourth proportional to 14,403.34, 19,880.31 and 9,380.08 is: 12,946.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,403.34 : 19,880.31 = 9,380.08 : x
  2. Step 2: Convert to fraction form
    14,403.34/19,880.31 = 9,380.08/x
  3. Step 3: Cross multiply
    14,403.34x = 19,880.31 × 9,380.08
  4. Step 4: Simplify right side
    14,403.34x = 186,478,898.22
  5. Step 5: Solve for x
    x = 186,478,898.22/14,403.34
  6. Step 6: Final answer
    x = 12,946.92

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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.