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Finding the Fourth Proportional to 16,304.72, 24,457.08 and 7,070

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Solution

The fourth proportional to 16,304.72, 24,457.08 and 7,070 is: 10,605.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,304.72 : 24,457.08 = 7,070 : x
  2. Step 2: Convert to fraction form
    16,304.72/24,457.08 = 7,070/x
  3. Step 3: Cross multiply
    16,304.72x = 24,457.08 × 7,070
  4. Step 4: Simplify right side
    16,304.72x = 172,911,555.60
  5. Step 5: Solve for x
    x = 172,911,555.60/16,304.72
  6. Step 6: Final answer
    x = 10,605.00

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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.