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Finding the Fourth Proportional to 14,130.52, 19,500.42 and 7,842.76

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Solution

The fourth proportional to 14,130.52, 19,500.42 and 7,842.76 is: 10,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.52 : 19,500.42 = 7,842.76 : x
  2. Step 2: Convert to fraction form
    14,130.52/19,500.42 = 7,842.76/x
  3. Step 3: Cross multiply
    14,130.52x = 19,500.42 × 7,842.76
  4. Step 4: Simplify right side
    14,130.52x = 152,937,113.96
  5. Step 5: Solve for x
    x = 152,937,113.96/14,130.52
  6. Step 6: Final answer
    x = 10,823.18

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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.