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Finding the Fourth Proportional to 12,275.49, 16,946.59 and 9,580.93

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Solution

The fourth proportional to 12,275.49, 16,946.59 and 9,580.93 is: 13,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.49 : 16,946.59 = 9,580.93 : x
  2. Step 2: Convert to fraction form
    12,275.49/16,946.59 = 9,580.93/x
  3. Step 3: Cross multiply
    12,275.49x = 16,946.59 × 9,580.93
  4. Step 4: Simplify right side
    12,275.49x = 162,364,092.53
  5. Step 5: Solve for x
    x = 162,364,092.53/12,275.49
  6. Step 6: Final answer
    x = 13,226.69

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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.