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Finding the Fourth Proportional to 13,998.12, 19,316.53 and 7,710.49

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Solution

The fourth proportional to 13,998.12, 19,316.53 and 7,710.49 is: 10,640.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,998.12 : 19,316.53 = 7,710.49 : x
  2. Step 2: Convert to fraction form
    13,998.12/19,316.53 = 7,710.49/x
  3. Step 3: Cross multiply
    13,998.12x = 19,316.53 × 7,710.49
  4. Step 4: Simplify right side
    13,998.12x = 148,939,901.81
  5. Step 5: Solve for x
    x = 148,939,901.81/13,998.12
  6. Step 6: Final answer
    x = 10,640.00

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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.