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Finding the Fourth Proportional to 12,746.94, 19,034.54 and 10,411.58

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Solution

The fourth proportional to 12,746.94, 19,034.54 and 10,411.58 is: 15,547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,746.94 : 19,034.54 = 10,411.58 : x
  2. Step 2: Convert to fraction form
    12,746.94/19,034.54 = 10,411.58/x
  3. Step 3: Cross multiply
    12,746.94x = 19,034.54 × 10,411.58
  4. Step 4: Simplify right side
    12,746.94x = 198,179,635.97
  5. Step 5: Solve for x
    x = 198,179,635.97/12,746.94
  6. Step 6: Final answer
    x = 15,547.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.