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Finding the Fourth Proportional to 19,527.60, 29,291.40 and 9,673.80

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Solution

The fourth proportional to 19,527.60, 29,291.40 and 9,673.80 is: 14,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,527.60 : 29,291.40 = 9,673.80 : x
  2. Step 2: Convert to fraction form
    19,527.60/29,291.40 = 9,673.80/x
  3. Step 3: Cross multiply
    19,527.60x = 29,291.40 × 9,673.80
  4. Step 4: Simplify right side
    19,527.60x = 283,359,145.32
  5. Step 5: Solve for x
    x = 283,359,145.32/19,527.60
  6. Step 6: Final answer
    x = 14,510.70

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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.