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Finding the Fourth Proportional to 19,642.35, 27,106.07 and 10,690.01

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Solution

The fourth proportional to 19,642.35, 27,106.07 and 10,690.01 is: 14,752.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.35 : 27,106.07 = 10,690.01 : x
  2. Step 2: Convert to fraction form
    19,642.35/27,106.07 = 10,690.01/x
  3. Step 3: Cross multiply
    19,642.35x = 27,106.07 × 10,690.01
  4. Step 4: Simplify right side
    19,642.35x = 289,763,970.38
  5. Step 5: Solve for x
    x = 289,763,970.38/19,642.35
  6. Step 6: Final answer
    x = 14,752.00

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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.