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Finding the Fourth Proportional to 13,973.84, 19,284.06 and 7,686.32

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Solution

The fourth proportional to 13,973.84, 19,284.06 and 7,686.32 is: 10,607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973.84 : 19,284.06 = 7,686.32 : x
  2. Step 2: Convert to fraction form
    13,973.84/19,284.06 = 7,686.32/x
  3. Step 3: Cross multiply
    13,973.84x = 19,284.06 × 7,686.32
  4. Step 4: Simplify right side
    13,973.84x = 148,223,456.06
  5. Step 5: Solve for x
    x = 148,223,456.06/13,973.84
  6. Step 6: Final answer
    x = 10,607.21

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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.