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Finding the Fourth Proportional to 13,156.84, 18,156.54 and 7,188.40

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Solution

The fourth proportional to 13,156.84, 18,156.54 and 7,188.40 is: 9,920.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156.84 : 18,156.54 = 7,188.40 : x
  2. Step 2: Convert to fraction form
    13,156.84/18,156.54 = 7,188.40/x
  3. Step 3: Cross multiply
    13,156.84x = 18,156.54 × 7,188.40
  4. Step 4: Simplify right side
    13,156.84x = 130,516,472.14
  5. Step 5: Solve for x
    x = 130,516,472.14/13,156.84
  6. Step 6: Final answer
    x = 9,920.05

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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.