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Finding the Fourth Proportional to 30,127.68, 45,206.64 and 12,597.12

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Solution

The fourth proportional to 30,127.68, 45,206.64 and 12,597.12 is: 18,902.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,127.68 : 45,206.64 = 12,597.12 : x
  2. Step 2: Convert to fraction form
    30,127.68/45,206.64 = 12,597.12/x
  3. Step 3: Cross multiply
    30,127.68x = 45,206.64 × 12,597.12
  4. Step 4: Simplify right side
    30,127.68x = 569,473,468.88
  5. Step 5: Solve for x
    x = 569,473,468.88/30,127.68
  6. Step 6: Final answer
    x = 18,902.00

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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.