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Finding the Fourth Proportional to 14,115.47, 19,479.35 and 7,827.89

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Solution

The fourth proportional to 14,115.47, 19,479.35 and 7,827.89 is: 10,802.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115.47 : 19,479.35 = 7,827.89 : x
  2. Step 2: Convert to fraction form
    14,115.47/19,479.35 = 7,827.89/x
  3. Step 3: Cross multiply
    14,115.47x = 19,479.35 × 7,827.89
  4. Step 4: Simplify right side
    14,115.47x = 152,482,131.24
  5. Step 5: Solve for x
    x = 152,482,131.24/14,115.47
  6. Step 6: Final answer
    x = 10,802.49

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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.