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Finding the Fourth Proportional to 14,475.20, 19,975.04 and 9,752

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Solution

The fourth proportional to 14,475.20, 19,975.04 and 9,752 is: 13,457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,475.20 : 19,975.04 = 9,752 : x
  2. Step 2: Convert to fraction form
    14,475.20/19,975.04 = 9,752/x
  3. Step 3: Cross multiply
    14,475.20x = 19,975.04 × 9,752
  4. Step 4: Simplify right side
    14,475.20x = 194,796,590.08
  5. Step 5: Solve for x
    x = 194,796,590.08/14,475.20
  6. Step 6: Final answer
    x = 13,457.26

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