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Finding the Fourth Proportional to 14,681.84, 20,261.34 and 8,307.14

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Solution

The fourth proportional to 14,681.84, 20,261.34 and 8,307.14 is: 11,464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681.84 : 20,261.34 = 8,307.14 : x
  2. Step 2: Convert to fraction form
    14,681.84/20,261.34 = 8,307.14/x
  3. Step 3: Cross multiply
    14,681.84x = 20,261.34 × 8,307.14
  4. Step 4: Simplify right side
    14,681.84x = 168,313,686.66
  5. Step 5: Solve for x
    x = 168,313,686.66/14,681.84
  6. Step 6: Final answer
    x = 11,464.08

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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.