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Finding the Fourth Proportional to 13,114.17, 19,668.52 and 4,798.11

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Solution

The fourth proportional to 13,114.17, 19,668.52 and 4,798.11 is: 7,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.17 : 19,668.52 = 4,798.11 : x
  2. Step 2: Convert to fraction form
    13,114.17/19,668.52 = 4,798.11/x
  3. Step 3: Cross multiply
    13,114.17x = 19,668.52 × 4,798.11
  4. Step 4: Simplify right side
    13,114.17x = 94,371,722.50
  5. Step 5: Solve for x
    x = 94,371,722.50/13,114.17
  6. Step 6: Final answer
    x = 7,196.16

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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.