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Finding the Fourth Proportional to 19,914.51, 27,482.34 and 11,417.38

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Solution

The fourth proportional to 19,914.51, 27,482.34 and 11,417.38 is: 15,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,914.51 : 27,482.34 = 11,417.38 : x
  2. Step 2: Convert to fraction form
    19,914.51/27,482.34 = 11,417.38/x
  3. Step 3: Cross multiply
    19,914.51x = 27,482.34 × 11,417.38
  4. Step 4: Simplify right side
    19,914.51x = 313,776,319.07
  5. Step 5: Solve for x
    x = 313,776,319.07/19,914.51
  6. Step 6: Final answer
    x = 15,756.17

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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.