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Finding the Fourth Proportional to 13,156.12, 18,154.95 and 7,848.19

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Solution

The fourth proportional to 13,156.12, 18,154.95 and 7,848.19 is: 10,830.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156.12 : 18,154.95 = 7,848.19 : x
  2. Step 2: Convert to fraction form
    13,156.12/18,154.95 = 7,848.19/x
  3. Step 3: Cross multiply
    13,156.12x = 18,154.95 × 7,848.19
  4. Step 4: Simplify right side
    13,156.12x = 142,483,497.04
  5. Step 5: Solve for x
    x = 142,483,497.04/13,156.12
  6. Step 6: Final answer
    x = 10,830.21

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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.