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Finding the Fourth Proportional to 14,459.63, 19,970.69 and 9,735.71

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Solution

The fourth proportional to 14,459.63, 19,970.69 and 9,735.71 is: 13,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,459.63 : 19,970.69 = 9,735.71 : x
  2. Step 2: Convert to fraction form
    14,459.63/19,970.69 = 9,735.71/x
  3. Step 3: Cross multiply
    14,459.63x = 19,970.69 × 9,735.71
  4. Step 4: Simplify right side
    14,459.63x = 194,428,697.81
  5. Step 5: Solve for x
    x = 194,428,697.81/14,459.63
  6. Step 6: Final answer
    x = 13,446.32

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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.