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Finding the Fourth Proportional to 14,210.76, 19,610.13 and 7,838.46

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Solution

The fourth proportional to 14,210.76, 19,610.13 and 7,838.46 is: 10,816.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,210.76 : 19,610.13 = 7,838.46 : x
  2. Step 2: Convert to fraction form
    14,210.76/19,610.13 = 7,838.46/x
  3. Step 3: Cross multiply
    14,210.76x = 19,610.13 × 7,838.46
  4. Step 4: Simplify right side
    14,210.76x = 153,713,219.60
  5. Step 5: Solve for x
    x = 153,713,219.60/14,210.76
  6. Step 6: Final answer
    x = 10,816.68

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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.