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Finding the Fourth Proportional to 14,369.32, 19,823.15 and 10,384.12

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Solution

The fourth proportional to 14,369.32, 19,823.15 and 10,384.12 is: 14,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,369.32 : 19,823.15 = 10,384.12 : x
  2. Step 2: Convert to fraction form
    14,369.32/19,823.15 = 10,384.12/x
  3. Step 3: Cross multiply
    14,369.32x = 19,823.15 × 10,384.12
  4. Step 4: Simplify right side
    14,369.32x = 205,845,968.38
  5. Step 5: Solve for x
    x = 205,845,968.38/14,369.32
  6. Step 6: Final answer
    x = 14,325.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.