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Finding the Fourth Proportional to 14,756.76, 22,129.36 and 6,543

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Solution

The fourth proportional to 14,756.76, 22,129.36 and 6,543 is: 9,811.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,756.76 : 22,129.36 = 6,543 : x
  2. Step 2: Convert to fraction form
    14,756.76/22,129.36 = 6,543/x
  3. Step 3: Cross multiply
    14,756.76x = 22,129.36 × 6,543
  4. Step 4: Simplify right side
    14,756.76x = 144,792,402.48
  5. Step 5: Solve for x
    x = 144,792,402.48/14,756.76
  6. Step 6: Final answer
    x = 9,811.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.