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Finding the Fourth Proportional to 14,378.08, 19,838.64 and 9,673.60

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Solution

The fourth proportional to 14,378.08, 19,838.64 and 9,673.60 is: 13,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.08 : 19,838.64 = 9,673.60 : x
  2. Step 2: Convert to fraction form
    14,378.08/19,838.64 = 9,673.60/x
  3. Step 3: Cross multiply
    14,378.08x = 19,838.64 × 9,673.60
  4. Step 4: Simplify right side
    14,378.08x = 191,911,067.90
  5. Step 5: Solve for x
    x = 191,911,067.90/14,378.08
  6. Step 6: Final answer
    x = 13,347.48

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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.