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Finding the Fourth Proportional to 14,168.16, 19,552 and 7,880.52

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Solution

The fourth proportional to 14,168.16, 19,552 and 7,880.52 is: 10,875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,168.16 : 19,552 = 7,880.52 : x
  2. Step 2: Convert to fraction form
    14,168.16/19,552 = 7,880.52/x
  3. Step 3: Cross multiply
    14,168.16x = 19,552 × 7,880.52
  4. Step 4: Simplify right side
    14,168.16x = 154,079,927.04
  5. Step 5: Solve for x
    x = 154,079,927.04/14,168.16
  6. Step 6: Final answer
    x = 10,875.08

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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.