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Finding the Fourth Proportional to 14,291.87, 19,705.36 and 10,503.50

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Solution

The fourth proportional to 14,291.87, 19,705.36 and 10,503.50 is: 14,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.87 : 19,705.36 = 10,503.50 : x
  2. Step 2: Convert to fraction form
    14,291.87/19,705.36 = 10,503.50/x
  3. Step 3: Cross multiply
    14,291.87x = 19,705.36 × 10,503.50
  4. Step 4: Simplify right side
    14,291.87x = 206,975,196.24
  5. Step 5: Solve for x
    x = 206,975,196.24/14,291.87
  6. Step 6: Final answer
    x = 14,482.02

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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.