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Finding the Fourth Proportional to 12,582.56, 18,877.76 and 7,590.40

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Solution

The fourth proportional to 12,582.56, 18,877.76 and 7,590.40 is: 11,387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.56 : 18,877.76 = 7,590.40 : x
  2. Step 2: Convert to fraction form
    12,582.56/18,877.76 = 7,590.40/x
  3. Step 3: Cross multiply
    12,582.56x = 18,877.76 × 7,590.40
  4. Step 4: Simplify right side
    12,582.56x = 143,289,749.50
  5. Step 5: Solve for x
    x = 143,289,749.50/12,582.56
  6. Step 6: Final answer
    x = 11,387.96

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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.