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Finding the Fourth Proportional to 13,156.61, 18,155.66 and 7,848.68

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Solution

The fourth proportional to 13,156.61, 18,155.66 and 7,848.68 is: 10,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156.61 : 18,155.66 = 7,848.68 : x
  2. Step 2: Convert to fraction form
    13,156.61/18,155.66 = 7,848.68/x
  3. Step 3: Cross multiply
    13,156.61x = 18,155.66 × 7,848.68
  4. Step 4: Simplify right side
    13,156.61x = 142,497,835.51
  5. Step 5: Solve for x
    x = 142,497,835.51/13,156.61
  6. Step 6: Final answer
    x = 10,830.90

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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.