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Finding the Fourth Proportional to 15,457.64, 21,331.35 and 8,384.00

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Solution

The fourth proportional to 15,457.64, 21,331.35 and 8,384.00 is: 11,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,457.64 : 21,331.35 = 8,384.00 : x
  2. Step 2: Convert to fraction form
    15,457.64/21,331.35 = 8,384.00/x
  3. Step 3: Cross multiply
    15,457.64x = 21,331.35 × 8,384.00
  4. Step 4: Simplify right side
    15,457.64x = 178,841,931.74
  5. Step 5: Solve for x
    x = 178,841,931.74/15,457.64
  6. Step 6: Final answer
    x = 11,569.81

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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.