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Finding the Fourth Proportional to 13,817.79, 19,068.08 and 7,849.35

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Solution

The fourth proportional to 13,817.79, 19,068.08 and 7,849.35 is: 10,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.79 : 19,068.08 = 7,849.35 : x
  2. Step 2: Convert to fraction form
    13,817.79/19,068.08 = 7,849.35/x
  3. Step 3: Cross multiply
    13,817.79x = 19,068.08 × 7,849.35
  4. Step 4: Simplify right side
    13,817.79x = 149,671,994.50
  5. Step 5: Solve for x
    x = 149,671,994.50/13,817.79
  6. Step 6: Final answer
    x = 10,831.83

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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.