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Finding the Fourth Proportional to 19,526.64, 26,946.71 and 10,574.16

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Solution

The fourth proportional to 19,526.64, 26,946.71 and 10,574.16 is: 14,592.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,526.64 : 26,946.71 = 10,574.16 : x
  2. Step 2: Convert to fraction form
    19,526.64/26,946.71 = 10,574.16/x
  3. Step 3: Cross multiply
    19,526.64x = 26,946.71 × 10,574.16
  4. Step 4: Simplify right side
    19,526.64x = 284,938,823.01
  5. Step 5: Solve for x
    x = 284,938,823.01/19,526.64
  6. Step 6: Final answer
    x = 14,592.31

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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.