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Finding the Fourth Proportional to 14,293.72, 19,718.74 and 9,259.62

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Solution

The fourth proportional to 14,293.72, 19,718.74 and 9,259.62 is: 12,774.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,293.72 : 19,718.74 = 9,259.62 : x
  2. Step 2: Convert to fraction form
    14,293.72/19,718.74 = 9,259.62/x
  3. Step 3: Cross multiply
    14,293.72x = 19,718.74 × 9,259.62
  4. Step 4: Simplify right side
    14,293.72x = 182,588,039.28
  5. Step 5: Solve for x
    x = 182,588,039.28/14,293.72
  6. Step 6: Final answer
    x = 12,774.00

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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.