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Finding the Fourth Proportional to 12,281.72, 18,417.48 and 7,594.86

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Solution

The fourth proportional to 12,281.72, 18,417.48 and 7,594.86 is: 11,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.72 : 18,417.48 = 7,594.86 : x
  2. Step 2: Convert to fraction form
    12,281.72/18,417.48 = 7,594.86/x
  3. Step 3: Cross multiply
    12,281.72x = 18,417.48 × 7,594.86
  4. Step 4: Simplify right side
    12,281.72x = 139,878,182.15
  5. Step 5: Solve for x
    x = 139,878,182.15/12,281.72
  6. Step 6: Final answer
    x = 11,389.14

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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.