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Finding the Fourth Proportional to 30,837.64, 46,256.45 and 11,607.00

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Solution

The fourth proportional to 30,837.64, 46,256.45 and 11,607.00 is: 17,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,837.64 : 46,256.45 = 11,607.00 : x
  2. Step 2: Convert to fraction form
    30,837.64/46,256.45 = 11,607.00/x
  3. Step 3: Cross multiply
    30,837.64x = 46,256.45 × 11,607.00
  4. Step 4: Simplify right side
    30,837.64x = 536,898,497.91
  5. Step 5: Solve for x
    x = 536,898,497.91/30,837.64
  6. Step 6: Final answer
    x = 17,410.49

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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.