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Finding the Fourth Proportional to 10,584.76, 14,673.84 and 10,023.01

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Solution

The fourth proportional to 10,584.76, 14,673.84 and 10,023.01 is: 13,895.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.76 : 14,673.84 = 10,023.01 : x
  2. Step 2: Convert to fraction form
    10,584.76/14,673.84 = 10,023.01/x
  3. Step 3: Cross multiply
    10,584.76x = 14,673.84 × 10,023.01
  4. Step 4: Simplify right side
    10,584.76x = 147,076,045.06
  5. Step 5: Solve for x
    x = 147,076,045.06/10,584.76
  6. Step 6: Final answer
    x = 13,895.08

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.