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Finding the Fourth Proportional to 14,983, 22,360.56 and 13,322.30

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Solution

The fourth proportional to 14,983, 22,360.56 and 13,322.30 is: 19,882.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,983 : 22,360.56 = 13,322.30 : x
  2. Step 2: Convert to fraction form
    14,983/22,360.56 = 13,322.30/x
  3. Step 3: Cross multiply
    14,983x = 22,360.56 × 13,322.30
  4. Step 4: Simplify right side
    14,983x = 297,894,088.49
  5. Step 5: Solve for x
    x = 297,894,088.49/14,983
  6. Step 6: Final answer
    x = 19,882.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.