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Finding the Fourth Proportional to 12,888.49, 19,332.85 and 5,097.30

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Solution

The fourth proportional to 12,888.49, 19,332.85 and 5,097.30 is: 7,646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888.49 : 19,332.85 = 5,097.30 : x
  2. Step 2: Convert to fraction form
    12,888.49/19,332.85 = 5,097.30/x
  3. Step 3: Cross multiply
    12,888.49x = 19,332.85 × 5,097.30
  4. Step 4: Simplify right side
    12,888.49x = 98,545,438.08
  5. Step 5: Solve for x
    x = 98,545,438.08/12,888.49
  6. Step 6: Final answer
    x = 7,646.00

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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.