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Finding the Fourth Proportional to 15,835.12, 21,842.93 and 10,457.60

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Solution

The fourth proportional to 15,835.12, 21,842.93 and 10,457.60 is: 14,425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,835.12 : 21,842.93 = 10,457.60 : x
  2. Step 2: Convert to fraction form
    15,835.12/21,842.93 = 10,457.60/x
  3. Step 3: Cross multiply
    15,835.12x = 21,842.93 × 10,457.60
  4. Step 4: Simplify right side
    15,835.12x = 228,424,541.70
  5. Step 5: Solve for x
    x = 228,424,541.70/15,835.12
  6. Step 6: Final answer
    x = 14,425.19

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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.