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Finding the Fourth Proportional to 14,363.12, 21,547.42 and 6,971.06

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Solution

The fourth proportional to 14,363.12, 21,547.42 and 6,971.06 is: 10,457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,363.12 : 21,547.42 = 6,971.06 : x
  2. Step 2: Convert to fraction form
    14,363.12/21,547.42 = 6,971.06/x
  3. Step 3: Cross multiply
    14,363.12x = 21,547.42 × 6,971.06
  4. Step 4: Simplify right side
    14,363.12x = 150,208,394.11
  5. Step 5: Solve for x
    x = 150,208,394.11/14,363.12
  6. Step 6: Final answer
    x = 10,457.92

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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.