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Finding the Fourth Proportional to 14,707.84, 22,055.94 and 11,593.84

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Solution

The fourth proportional to 14,707.84, 22,055.94 and 11,593.84 is: 17,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,707.84 : 22,055.94 = 11,593.84 : x
  2. Step 2: Convert to fraction form
    14,707.84/22,055.94 = 11,593.84/x
  3. Step 3: Cross multiply
    14,707.84x = 22,055.94 × 11,593.84
  4. Step 4: Simplify right side
    14,707.84x = 255,713,039.41
  5. Step 5: Solve for x
    x = 255,713,039.41/14,707.84
  6. Step 6: Final answer
    x = 17,386.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.