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Finding the Fourth Proportional to 15,457.68, 21,323.70 and 9,782.84

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Solution

The fourth proportional to 15,457.68, 21,323.70 and 9,782.84 is: 13,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,457.68 : 21,323.70 = 9,782.84 : x
  2. Step 2: Convert to fraction form
    15,457.68/21,323.70 = 9,782.84/x
  3. Step 3: Cross multiply
    15,457.68x = 21,323.70 × 9,782.84
  4. Step 4: Simplify right side
    15,457.68x = 208,606,345.31
  5. Step 5: Solve for x
    x = 208,606,345.31/15,457.68
  6. Step 6: Final answer
    x = 13,495.32

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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.