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Finding the Fourth Proportional to 12,681.60, 19,000.80 and 10,478.40

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Solution

The fourth proportional to 12,681.60, 19,000.80 and 10,478.40 is: 15,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.60 : 19,000.80 = 10,478.40 : x
  2. Step 2: Convert to fraction form
    12,681.60/19,000.80 = 10,478.40/x
  3. Step 3: Cross multiply
    12,681.60x = 19,000.80 × 10,478.40
  4. Step 4: Simplify right side
    12,681.60x = 199,097,982.72
  5. Step 5: Solve for x
    x = 199,097,982.72/12,681.60
  6. Step 6: Final answer
    x = 15,699.75

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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.