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Finding the Fourth Proportional to 12,678.48, 17,497.16 and 7,089.52

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Solution

The fourth proportional to 12,678.48, 17,497.16 and 7,089.52 is: 9,784.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.48 : 17,497.16 = 7,089.52 : x
  2. Step 2: Convert to fraction form
    12,678.48/17,497.16 = 7,089.52/x
  3. Step 3: Cross multiply
    12,678.48x = 17,497.16 × 7,089.52
  4. Step 4: Simplify right side
    12,678.48x = 124,046,465.76
  5. Step 5: Solve for x
    x = 124,046,465.76/12,678.48
  6. Step 6: Final answer
    x = 9,784.02

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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.