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Finding the Fourth Proportional to 19,681.95, 29,527.58 and 7,836.40

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Solution

The fourth proportional to 19,681.95, 29,527.58 and 7,836.40 is: 11,756.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,681.95 : 29,527.58 = 7,836.40 : x
  2. Step 2: Convert to fraction form
    19,681.95/29,527.58 = 7,836.40/x
  3. Step 3: Cross multiply
    19,681.95x = 29,527.58 × 7,836.40
  4. Step 4: Simplify right side
    19,681.95x = 231,389,888.73
  5. Step 5: Solve for x
    x = 231,389,888.73/19,681.95
  6. Step 6: Final answer
    x = 11,756.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.