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Finding the Fourth Proportional to 14,200.59, 19,596 and 7,827.15

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Solution

The fourth proportional to 14,200.59, 19,596 and 7,827.15 is: 10,801.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.59 : 19,596 = 7,827.15 : x
  2. Step 2: Convert to fraction form
    14,200.59/19,596 = 7,827.15/x
  3. Step 3: Cross multiply
    14,200.59x = 19,596 × 7,827.15
  4. Step 4: Simplify right side
    14,200.59x = 153,380,831.40
  5. Step 5: Solve for x
    x = 153,380,831.40/14,200.59
  6. Step 6: Final answer
    x = 10,801.02

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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.