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Finding the Fourth Proportional to 21,237.60, 31,847.76 and 9,547.68

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Solution

The fourth proportional to 21,237.60, 31,847.76 and 9,547.68 is: 14,317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,237.60 : 31,847.76 = 9,547.68 : x
  2. Step 2: Convert to fraction form
    21,237.60/31,847.76 = 9,547.68/x
  3. Step 3: Cross multiply
    21,237.60x = 31,847.76 × 9,547.68
  4. Step 4: Simplify right side
    21,237.60x = 304,072,221.20
  5. Step 5: Solve for x
    x = 304,072,221.20/21,237.60
  6. Step 6: Final answer
    x = 14,317.64

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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.