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Finding the Fourth Proportional to 13,491.36, 18,618 and 7,523.10

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Solution

The fourth proportional to 13,491.36, 18,618 and 7,523.10 is: 10,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,491.36 : 18,618 = 7,523.10 : x
  2. Step 2: Convert to fraction form
    13,491.36/18,618 = 7,523.10/x
  3. Step 3: Cross multiply
    13,491.36x = 18,618 × 7,523.10
  4. Step 4: Simplify right side
    13,491.36x = 140,065,075.80
  5. Step 5: Solve for x
    x = 140,065,075.80/13,491.36
  6. Step 6: Final answer
    x = 10,381.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.