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Finding the Fourth Proportional to 10,735, 14,801.82 and 10,070.80

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Solution

The fourth proportional to 10,735, 14,801.82 and 10,070.80 is: 13,886.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735 : 14,801.82 = 10,070.80 : x
  2. Step 2: Convert to fraction form
    10,735/14,801.82 = 10,070.80/x
  3. Step 3: Cross multiply
    10,735x = 14,801.82 × 10,070.80
  4. Step 4: Simplify right side
    10,735x = 149,066,168.86
  5. Step 5: Solve for x
    x = 149,066,168.86/10,735
  6. Step 6: Final answer
    x = 13,886.00

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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.