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Finding the Fourth Proportional to 13,699.24, 18,905 and 7,411.68

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Solution

The fourth proportional to 13,699.24, 18,905 and 7,411.68 is: 10,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.24 : 18,905 = 7,411.68 : x
  2. Step 2: Convert to fraction form
    13,699.24/18,905 = 7,411.68/x
  3. Step 3: Cross multiply
    13,699.24x = 18,905 × 7,411.68
  4. Step 4: Simplify right side
    13,699.24x = 140,117,810.40
  5. Step 5: Solve for x
    x = 140,117,810.40/13,699.24
  6. Step 6: Final answer
    x = 10,228.14

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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.