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Finding the Fourth Proportional to 14,130.46, 19,501.05 and 7,842.79

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Solution

The fourth proportional to 14,130.46, 19,501.05 and 7,842.79 is: 10,823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.46 : 19,501.05 = 7,842.79 : x
  2. Step 2: Convert to fraction form
    14,130.46/19,501.05 = 7,842.79/x
  3. Step 3: Cross multiply
    14,130.46x = 19,501.05 × 7,842.79
  4. Step 4: Simplify right side
    14,130.46x = 152,942,639.93
  5. Step 5: Solve for x
    x = 152,942,639.93/14,130.46
  6. Step 6: Final answer
    x = 10,823.61

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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.