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Finding the Fourth Proportional to 24,875.84, 37,323.48 and 9,294.68

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Solution

The fourth proportional to 24,875.84, 37,323.48 and 9,294.68 is: 13,945.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,875.84 : 37,323.48 = 9,294.68 : x
  2. Step 2: Convert to fraction form
    24,875.84/37,323.48 = 9,294.68/x
  3. Step 3: Cross multiply
    24,875.84x = 37,323.48 × 9,294.68
  4. Step 4: Simplify right side
    24,875.84x = 346,909,803.09
  5. Step 5: Solve for x
    x = 346,909,803.09/24,875.84
  6. Step 6: Final answer
    x = 13,945.65

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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.