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Finding the Fourth Proportional to 13,497.86, 18,627.23 and 7,756.25

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Solution

The fourth proportional to 13,497.86, 18,627.23 and 7,756.25 is: 10,703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.86 : 18,627.23 = 7,756.25 : x
  2. Step 2: Convert to fraction form
    13,497.86/18,627.23 = 7,756.25/x
  3. Step 3: Cross multiply
    13,497.86x = 18,627.23 × 7,756.25
  4. Step 4: Simplify right side
    13,497.86x = 144,477,378.94
  5. Step 5: Solve for x
    x = 144,477,378.94/13,497.86
  6. Step 6: Final answer
    x = 10,703.72

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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.