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Finding the Fourth Proportional to 14,547.15, 21,820.74 and 9,615.78

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Solution

The fourth proportional to 14,547.15, 21,820.74 and 9,615.78 is: 14,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.15 : 21,820.74 = 9,615.78 : x
  2. Step 2: Convert to fraction form
    14,547.15/21,820.74 = 9,615.78/x
  3. Step 3: Cross multiply
    14,547.15x = 21,820.74 × 9,615.78
  4. Step 4: Simplify right side
    14,547.15x = 209,823,435.28
  5. Step 5: Solve for x
    x = 209,823,435.28/14,547.15
  6. Step 6: Final answer
    x = 14,423.68

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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.