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Finding the Fourth Proportional to 25,284.01, 37,931.42 and 9,701.50

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Solution

The fourth proportional to 25,284.01, 37,931.42 and 9,701.50 is: 14,554.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,284.01 : 37,931.42 = 9,701.50 : x
  2. Step 2: Convert to fraction form
    25,284.01/37,931.42 = 9,701.50/x
  3. Step 3: Cross multiply
    25,284.01x = 37,931.42 × 9,701.50
  4. Step 4: Simplify right side
    25,284.01x = 367,991,671.13
  5. Step 5: Solve for x
    x = 367,991,671.13/25,284.01
  6. Step 6: Final answer
    x = 14,554.32

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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.