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Finding the Fourth Proportional to 12,702.84, 19,054.68 and 4,382.76

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Solution

The fourth proportional to 12,702.84, 19,054.68 and 4,382.76 is: 6,574.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.84 : 19,054.68 = 4,382.76 : x
  2. Step 2: Convert to fraction form
    12,702.84/19,054.68 = 4,382.76/x
  3. Step 3: Cross multiply
    12,702.84x = 19,054.68 × 4,382.76
  4. Step 4: Simplify right side
    12,702.84x = 83,512,089.32
  5. Step 5: Solve for x
    x = 83,512,089.32/12,702.84
  6. Step 6: Final answer
    x = 6,574.28

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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.