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Finding the Fourth Proportional to 12,567.60, 18,851.40 and 10,688.40

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Solution

The fourth proportional to 12,567.60, 18,851.40 and 10,688.40 is: 16,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.60 : 18,851.40 = 10,688.40 : x
  2. Step 2: Convert to fraction form
    12,567.60/18,851.40 = 10,688.40/x
  3. Step 3: Cross multiply
    12,567.60x = 18,851.40 × 10,688.40
  4. Step 4: Simplify right side
    12,567.60x = 201,491,303.76
  5. Step 5: Solve for x
    x = 201,491,303.76/12,567.60
  6. Step 6: Final answer
    x = 16,032.60

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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.