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Finding the Fourth Proportional to 13,117.34, 18,102.12 and 7,148.99

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Solution

The fourth proportional to 13,117.34, 18,102.12 and 7,148.99 is: 9,865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.34 : 18,102.12 = 7,148.99 : x
  2. Step 2: Convert to fraction form
    13,117.34/18,102.12 = 7,148.99/x
  3. Step 3: Cross multiply
    13,117.34x = 18,102.12 × 7,148.99
  4. Step 4: Simplify right side
    13,117.34x = 129,411,784.35
  5. Step 5: Solve for x
    x = 129,411,784.35/13,117.34
  6. Step 6: Final answer
    x = 9,865.71

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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.