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Finding the Fourth Proportional to 30,384.68, 41,931.06 and 17,809.52

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Solution

The fourth proportional to 30,384.68, 41,931.06 and 17,809.52 is: 24,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,384.68 : 41,931.06 = 17,809.52 : x
  2. Step 2: Convert to fraction form
    30,384.68/41,931.06 = 17,809.52/x
  3. Step 3: Cross multiply
    30,384.68x = 41,931.06 × 17,809.52
  4. Step 4: Simplify right side
    30,384.68x = 746,772,051.69
  5. Step 5: Solve for x
    x = 746,772,051.69/30,384.68
  6. Step 6: Final answer
    x = 24,577.26

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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.