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Finding the Fourth Proportional to 24,875.84, 34,328.68 and 13,697.84

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Solution

The fourth proportional to 24,875.84, 34,328.68 and 13,697.84 is: 18,903.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,875.84 : 34,328.68 = 13,697.84 : x
  2. Step 2: Convert to fraction form
    24,875.84/34,328.68 = 13,697.84/x
  3. Step 3: Cross multiply
    24,875.84x = 34,328.68 × 13,697.84
  4. Step 4: Simplify right side
    24,875.84x = 470,228,817.63
  5. Step 5: Solve for x
    x = 470,228,817.63/24,875.84
  6. Step 6: Final answer
    x = 18,903.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.