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Finding the Fourth Proportional to 14,556, 21,838.08 and 4,695.84

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Solution

The fourth proportional to 14,556, 21,838.08 and 4,695.84 is: 7,045.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,556 : 21,838.08 = 4,695.84 : x
  2. Step 2: Convert to fraction form
    14,556/21,838.08 = 4,695.84/x
  3. Step 3: Cross multiply
    14,556x = 21,838.08 × 4,695.84
  4. Step 4: Simplify right side
    14,556x = 102,548,129.59
  5. Step 5: Solve for x
    x = 102,548,129.59/14,556
  6. Step 6: Final answer
    x = 7,045.08

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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.