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Finding the Fourth Proportional to 19,503.06, 29,259.84 and 7,024.50

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Solution

The fourth proportional to 19,503.06, 29,259.84 and 7,024.50 is: 10,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,503.06 : 29,259.84 = 7,024.50 : x
  2. Step 2: Convert to fraction form
    19,503.06/29,259.84 = 7,024.50/x
  3. Step 3: Cross multiply
    19,503.06x = 29,259.84 × 7,024.50
  4. Step 4: Simplify right side
    19,503.06x = 205,535,746.08
  5. Step 5: Solve for x
    x = 205,535,746.08/19,503.06
  6. Step 6: Final answer
    x = 10,538.64

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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.