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Finding the Fourth Proportional to 26,223.87, 39,307.80 and 10,407

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Solution

The fourth proportional to 26,223.87, 39,307.80 and 10,407 is: 15,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,223.87 : 39,307.80 = 10,407 : x
  2. Step 2: Convert to fraction form
    26,223.87/39,307.80 = 10,407/x
  3. Step 3: Cross multiply
    26,223.87x = 39,307.80 × 10,407
  4. Step 4: Simplify right side
    26,223.87x = 409,076,274.60
  5. Step 5: Solve for x
    x = 409,076,274.60/26,223.87
  6. Step 6: Final answer
    x = 15,599.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.