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Finding the Fourth Proportional to 13,117.59, 19,678.55 and 6,543.99

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Solution

The fourth proportional to 13,117.59, 19,678.55 and 6,543.99 is: 9,817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.59 : 19,678.55 = 6,543.99 : x
  2. Step 2: Convert to fraction form
    13,117.59/19,678.55 = 6,543.99/x
  3. Step 3: Cross multiply
    13,117.59x = 19,678.55 × 6,543.99
  4. Step 4: Simplify right side
    13,117.59x = 128,776,201.69
  5. Step 5: Solve for x
    x = 128,776,201.69/13,117.59
  6. Step 6: Final answer
    x = 9,817.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.