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Finding the Fourth Proportional to 15,457.80, 23,178.06 and 5,068.68

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Solution

The fourth proportional to 15,457.80, 23,178.06 and 5,068.68 is: 7,600.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,457.80 : 23,178.06 = 5,068.68 : x
  2. Step 2: Convert to fraction form
    15,457.80/23,178.06 = 5,068.68/x
  3. Step 3: Cross multiply
    15,457.80x = 23,178.06 × 5,068.68
  4. Step 4: Simplify right side
    15,457.80x = 117,482,169.16
  5. Step 5: Solve for x
    x = 117,482,169.16/15,457.80
  6. Step 6: Final answer
    x = 7,600.19

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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.