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Finding the Fourth Proportional to 22,901.48, 34,364.60 and 9,575.64

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Solution

The fourth proportional to 22,901.48, 34,364.60 and 9,575.64 is: 14,368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,901.48 : 34,364.60 = 9,575.64 : x
  2. Step 2: Convert to fraction form
    22,901.48/34,364.60 = 9,575.64/x
  3. Step 3: Cross multiply
    22,901.48x = 34,364.60 × 9,575.64
  4. Step 4: Simplify right side
    22,901.48x = 329,063,038.34
  5. Step 5: Solve for x
    x = 329,063,038.34/22,901.48
  6. Step 6: Final answer
    x = 14,368.64

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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.