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Finding the Fourth Proportional to 14,407.47, 21,612.42 and 4,547.34

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Solution

The fourth proportional to 14,407.47, 21,612.42 and 4,547.34 is: 6,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.47 : 21,612.42 = 4,547.34 : x
  2. Step 2: Convert to fraction form
    14,407.47/21,612.42 = 4,547.34/x
  3. Step 3: Cross multiply
    14,407.47x = 21,612.42 × 4,547.34
  4. Step 4: Simplify right side
    14,407.47x = 98,279,021.96
  5. Step 5: Solve for x
    x = 98,279,021.96/14,407.47
  6. Step 6: Final answer
    x = 6,821.39

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