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Finding the Fourth Proportional to 14,459.50, 19,955.33 and 9,152.38

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Solution

The fourth proportional to 14,459.50, 19,955.33 and 9,152.38 is: 12,631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,459.50 : 19,955.33 = 9,152.38 : x
  2. Step 2: Convert to fraction form
    14,459.50/19,955.33 = 9,152.38/x
  3. Step 3: Cross multiply
    14,459.50x = 19,955.33 × 9,152.38
  4. Step 4: Simplify right side
    14,459.50x = 182,638,763.19
  5. Step 5: Solve for x
    x = 182,638,763.19/14,459.50
  6. Step 6: Final answer
    x = 12,631.06

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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.