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Finding the Fourth Proportional to 14,169, 21,256.53 and 4,309.08

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Solution

The fourth proportional to 14,169, 21,256.53 and 4,309.08 is: 6,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,169 : 21,256.53 = 4,309.08 : x
  2. Step 2: Convert to fraction form
    14,169/21,256.53 = 4,309.08/x
  3. Step 3: Cross multiply
    14,169x = 21,256.53 × 4,309.08
  4. Step 4: Simplify right side
    14,169x = 91,596,088.29
  5. Step 5: Solve for x
    x = 91,596,088.29/14,169
  6. Step 6: Final answer
    x = 6,464.54

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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.