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Finding the Fourth Proportional to 14,785.84, 20,407.80 and 10,072

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Solution

The fourth proportional to 14,785.84, 20,407.80 and 10,072 is: 13,901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785.84 : 20,407.80 = 10,072 : x
  2. Step 2: Convert to fraction form
    14,785.84/20,407.80 = 10,072/x
  3. Step 3: Cross multiply
    14,785.84x = 20,407.80 × 10,072
  4. Step 4: Simplify right side
    14,785.84x = 205,547,361.60
  5. Step 5: Solve for x
    x = 205,547,361.60/14,785.84
  6. Step 6: Final answer
    x = 13,901.64

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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.