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Finding the Fourth Proportional to 17,637.65, 24,337.97 and 10,465.00

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Solution

The fourth proportional to 17,637.65, 24,337.97 and 10,465.00 is: 14,440.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,637.65 : 24,337.97 = 10,465.00 : x
  2. Step 2: Convert to fraction form
    17,637.65/24,337.97 = 10,465.00/x
  3. Step 3: Cross multiply
    17,637.65x = 24,337.97 × 10,465.00
  4. Step 4: Simplify right side
    17,637.65x = 254,696,782.12
  5. Step 5: Solve for x
    x = 254,696,782.12/17,637.65
  6. Step 6: Final answer
    x = 14,440.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.