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Finding the Fourth Proportional to 13,681.71, 18,875.43 and 7,712.01

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Solution

The fourth proportional to 13,681.71, 18,875.43 and 7,712.01 is: 10,639.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.71 : 18,875.43 = 7,712.01 : x
  2. Step 2: Convert to fraction form
    13,681.71/18,875.43 = 7,712.01/x
  3. Step 3: Cross multiply
    13,681.71x = 18,875.43 × 7,712.01
  4. Step 4: Simplify right side
    13,681.71x = 145,567,504.91
  5. Step 5: Solve for x
    x = 145,567,504.91/13,681.71
  6. Step 6: Final answer
    x = 10,639.57

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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.