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Finding the Fourth Proportional to 19,482, 26,885.16 and 10,650

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Solution

The fourth proportional to 19,482, 26,885.16 and 10,650 is: 14,697

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,482 : 26,885.16 = 10,650 : x
  2. Step 2: Convert to fraction form
    19,482/26,885.16 = 10,650/x
  3. Step 3: Cross multiply
    19,482x = 26,885.16 × 10,650
  4. Step 4: Simplify right side
    19,482x = 286,326,954
  5. Step 5: Solve for x
    x = 286,326,954/19,482
  6. Step 6: Final answer
    x = 14,697

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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.