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Finding the Fourth Proportional to 19,314, 26,653.32 and 10,482

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Solution

The fourth proportional to 19,314, 26,653.32 and 10,482 is: 14,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,314 : 26,653.32 = 10,482 : x
  2. Step 2: Convert to fraction form
    19,314/26,653.32 = 10,482/x
  3. Step 3: Cross multiply
    19,314x = 26,653.32 × 10,482
  4. Step 4: Simplify right side
    19,314x = 279,380,100.24
  5. Step 5: Solve for x
    x = 279,380,100.24/19,314
  6. Step 6: Final answer
    x = 14,465.16

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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.